30645972 has 72 divisors (see below), whose sum is σ = 92440320. Its totient is φ = 8754480.

The previous prime is 30645931. The next prime is 30645991. The reversal of 30645972 is 27954603.

30645972 is a `hidden beast` number, since 3 + 0 + 64 + 597 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 2397 + ... + 8187.

Almost surely, 2^30645972 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 30645972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46220160).

30645972 is an abundant number, since it is smaller than the sum of its proper divisors (61794348).

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

30645972 is a wasteful number, since it uses less digits than its factorization.

30645972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5818 (or 5803 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 30645972 is about 5535.8804177836. The cubic root of 30645972 is about 312.9376379210.

The spelling of 30645972 in words is "thirty million, six hundred forty-five thousand, nine hundred seventy-two".