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72474012 = 223213236733
BaseRepresentation
bin1000101000111…
…01110110011100
312001101001122200
410110131312130
5122023132022
611105211500
71540006332
oct424356634
9161331580
1072474012
1137a00886
1220330b90
1312026940
1498a7b52
156568bac
hex451dd9c

72474012 has 72 divisors (see below), whose sum is σ = 205898784. Its totient is φ = 21326976.

The previous prime is 72473981. The next prime is 72474013. The reversal of 72474012 is 21047427.

It is a happy number.

It is a super-2 number, since 2×724740122 = 10504964830752288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72474013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7398 + ... + 14130.

Almost surely, 272474012 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 72474012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102949392).

72474012 is an abundant number, since it is smaller than the sum of its proper divisors (133424772).

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

72474012 is a wasteful number, since it uses less digits than its factorization.

72474012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6779 (or 6774 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 72474012 is about 8513.1669782755. The cubic root of 72474012 is about 416.9277172299.

The spelling of 72474012 in words is "seventy-two million, four hundred seventy-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1196 1794 2691 3588 5382 6733 10764 13466 20199 26932 40398 60597 80796 87529 121194 154859 175058 242388 262587 309718 350116 464577 525174 619436 787761 929154 1050348 1393731 1575522 1858308 2013167 2787462 3151044 4026334 5574924 6039501 8052668 12079002 18118503 24158004 36237006 72474012