30618972 has 108 divisors (see below), whose sum is σ = 86045960. Its totient is φ = 9517824.

The previous prime is 30618961. The next prime is 30618997. The reversal of 30618972 is 27981603.

30618972 is a `hidden beast` number, since 30 + 618 + 9 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

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 35 ways as a sum of consecutive naturals, for example, 280854 + ... + 280962.

Almost surely, 2^30618972 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 30618972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43022980).

30618972 is an abundant number, since it is smaller than the sum of its proper divisors (55426988).

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

30618972 is a wasteful number, since it uses less digits than its factorization.

30618972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 30618972 is about 5533.4412439277. The cubic root of 30618972 is about 312.8457085063.

The spelling of 30618972 in words is "thirty million, six hundred eighteen thousand, nine hundred seventy-two".