92528072 has 96 divisors (see below), whose sum is σ = 221397120. Its totient is φ = 35925120.

The previous prime is 92528063. The next prime is 92528153. The reversal of 92528072 is 27082529.

It is a super-2 number, since 2×92528072² = 17122888216074368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341297 + ... + 341567.

It is an arithmetic number, because the mean of its divisors is an integer number (2306220).

Almost surely, 2^92528072 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 92528072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110698560).

92528072 is an abundant number, since it is smaller than the sum of its proper divisors (128869048).

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

92528072 is a wasteful number, since it uses less digits than its factorization.

92528072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 92528072 is about 9619.1513139154. The cubic root of 92528072 is about 452.2978301821.

The spelling of 92528072 in words is "ninety-two million, five hundred twenty-eight thousand, seventy-two".