83792072 has 32 divisors (see below), whose sum is σ = 193368000. Its totient is φ = 33148224.

The previous prime is 83792057. The next prime is 83792129. The reversal of 83792072 is 27029738.

It is a super-2 number, since 2×83792072² = 14042222660106368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56822 + ... + 58277.

It is an arithmetic number, because the mean of its divisors is an integer number (6042750).

Almost surely, 2^83792072 is an apocalyptic number.

It is an amenable number.

83792072 is an abundant number, since it is smaller than the sum of its proper divisors (109575928).

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

83792072 is a wasteful number, since it uses less digits than its factorization.

83792072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115125 (or 115121 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 83792072 is about 9153.8009591644. The cubic root of 83792072 is about 437.5902564264.

The spelling of 83792072 in words is "eighty-three million, seven hundred ninety-two thousand, seventy-two".