72000792 has 32 divisors (see below), whose sum is σ = 200002800. Its totient is φ = 24000192.

The previous prime is 72000767. The next prime is 72000793. The reversal of 72000792 is 29700027.

It is a super-2 number, since 2×72000792² = 10368228097254528, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

72000792 is a modest number, since divided by 792 gives 72 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72000793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166453 + ... + 166884.

Almost surely, 2^72000792 is an apocalyptic number.

72000792 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72000792 is an abundant number, since it is smaller than the sum of its proper divisors (128002008).

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

72000792 is a wasteful number, since it uses less digits than its factorization.

72000792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333352 (or 333342 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 72000792 is about 8485.3280431578. The cubic root of 72000792 is about 416.0182899996.

The spelling of 72000792 in words is "seventy-two million, seven hundred ninety-two", and thus it is an aban number.