92972800 has 108 divisors (see below), whose sum is σ = 234446800. Its totient is φ = 36495360.

The previous prime is 92972773. The next prime is 92972807. The reversal of 92972800 is 827929.

It is a self number, because there is not a number n which added to its sum of digits gives 92972800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92972807) 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, 467101 + ... + 467299.

Almost surely, 2^92972800 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 92972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117223400).

92972800 is an abundant number, since it is smaller than the sum of its proper divisors (141474000).

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

92972800 is a wasteful number, since it uses less digits than its factorization.

92972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 92972800 is about 9642.2404035577. The cubic root of 92972800 is about 453.0213154760.

The spelling of 92972800 in words is "ninety-two million, nine hundred seventy-two thousand, eight hundred".