30572800 has 108 divisors (see below), whose sum is σ = 80408916. Its totient is φ = 11468800.

The previous prime is 30572791. The next prime is 30572803. The reversal of 30572800 is 827503.

It can be written as a sum of positive squares in 6 ways, for example, as 278784 + 30294016 = 528^2 + 5504^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (30572803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108660 + ... + 108940.

It is an arithmetic number, because the mean of its divisors is an integer number (744527).

Almost surely, 2^30572800 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 30572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40204458).

30572800 is an abundant number, since it is smaller than the sum of its proper divisors (49836116).

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

30572800 is a wasteful number, since it uses less digits than its factorization.

30572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 30572800 is about 5529.2675826008. The cubic root of 30572800 is about 312.6883770889.

The spelling of 30572800 in words is "thirty million, five hundred seventy-two thousand, eight hundred".