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78912072 = 233210710243
BaseRepresentation
bin1001011010000…
…01101001001000
312111111011000100
410231001221020
5130200141242
611455205400
71645512231
oct455015110
9174434010
1078912072
11405a8898
1222516860
131346c145
14a6a2088
156ddb54c
hex4b41a48

78912072 has 48 divisors (see below), whose sum is σ = 215738640. Its totient is φ = 26055648.

The previous prime is 78912061. The next prime is 78912077. The reversal of 78912072 is 27021987.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (78912077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2583 + ... + 12825.

It is an arithmetic number, because the mean of its divisors is an integer number (4494555).

Almost surely, 278912072 is an apocalyptic number.

78912072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78912072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107869320).

78912072 is an abundant number, since it is smaller than the sum of its proper divisors (136826568).

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

78912072 is a wasteful number, since it uses less digits than its factorization.

78912072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10362 (or 10355 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 78912072 is about 8883.2467037677. The cubic root of 78912072 is about 428.9247916148.

The spelling of 78912072 in words is "seventy-eight million, nine hundred twelve thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1284 1926 2568 3852 7704 10243 20486 30729 40972 61458 81944 92187 122916 184374 245832 368748 737496 1096001 2192002 3288003 4384004 6576006 8768008 9864009 13152012 19728018 26304024 39456036 78912072