92052072 has 128 divisors (see below), whose sum is σ = 305049600. Its totient is φ = 25147584.

The previous prime is 92052053. The next prime is 92052073. The reversal of 92052072 is 27025029.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (92052073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33453 + ... + 36099.

It is an arithmetic number, because the mean of its divisors is an integer number (2383200).

Almost surely, 2^92052072 is an apocalyptic number.

92052072 is a gapful number since it is divisible by the number (92) 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 92052072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152524800).

92052072 is an abundant number, since it is smaller than the sum of its proper divisors (212997528).

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

92052072 is a wasteful number, since it uses less digits than its factorization.

92052072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 92052072 is about 9594.3771032829. The cubic root of 92052072 is about 451.5208983605.

The spelling of 92052072 in words is "ninety-two million, fifty-two thousand, seventy-two".