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72357012 = 223271321699
BaseRepresentation
bin1000101000000…
…01010010010100
312001011010011100
410110001102110
5122010411022
611102510100
71536011250
oct424012224
9161133140
1072357012
1137930992
1220295330
1311cb5600
149877260
1565441ac
hex4501494

72357012 has 108 divisors (see below), whose sum is σ = 226480800. Its totient is φ = 19071936.

The previous prime is 72356989. The next prime is 72357013. The reversal of 72357012 is 21075327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72357013) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41739 + ... + 43437.

Almost surely, 272357012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72357012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113240400).

72357012 is an abundant number, since it is smaller than the sum of its proper divisors (154123788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72357012 is a wasteful number, since it uses less digits than its factorization.

72357012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 72357012 is about 8506.2924943832. The cubic root of 72357012 is about 416.7032376078.

The spelling of 72357012 in words is "seventy-two million, three hundred fifty-seven thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 169 182 234 252 273 338 364 468 507 546 676 819 1014 1092 1183 1521 1638 1699 2028 2366 3042 3276 3398 3549 4732 5097 6084 6796 7098 10194 10647 11893 14196 15291 20388 21294 22087 23786 30582 35679 42588 44174 47572 61164 66261 71358 88348 107037 132522 142716 154609 198783 214074 265044 287131 309218 397566 428148 463827 574262 618436 795132 861393 927654 1148524 1391481 1722786 1855308 2009917 2584179 2782962 3445572 4019834 5168358 5565924 6029751 8039668 10336716 12059502 18089253 24119004 36178506 72357012