72955092 has 96 divisors (see below), whose sum is σ = 210567168. Its totient is φ = 19183104.

The previous prime is 72955087. The next prime is 72955147. The reversal of 72955092 is 29055927.

It is a self number, because there is not a number n which added to its sum of digits gives 72955092.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66573 + ... + 67659.

It is an arithmetic number, because the mean of its divisors is an integer number (2193408).

Almost surely, 2^72955092 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 72955092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105283584).

72955092 is an abundant number, since it is smaller than the sum of its proper divisors (137612076).

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

72955092 is a wasteful number, since it uses less digits than its factorization.

72955092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 72955092 is about 8541.3752990956. The cubic root of 72955092 is about 417.8482007959.

The spelling of 72955092 in words is "seventy-two million, nine hundred fifty-five thousand, ninety-two".