30972592 has 40 divisors (see below), whose sum is σ = 69138432. Its totient is φ = 13166400.

The previous prime is 30972587. The next prime is 30972593. The reversal of 30972592 is 29527903.

It is not an unprimeable number, because it can be changed into a prime (30972593) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13617 + ... + 15727.

Almost surely, 2^30972592 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 30972592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34569216).

30972592 is an abundant number, since it is smaller than the sum of its proper divisors (38165840).

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

30972592 is a wasteful number, since it uses less digits than its factorization.

30972592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 37.

The square root of 30972592 is about 5565.3025075013. The cubic root of 30972592 is about 314.0454584138.

The spelling of 30972592 in words is "thirty million, nine hundred seventy-two thousand, five hundred ninety-two".