97564072 has 32 divisors (see below), whose sum is σ = 186076800. Its totient is φ = 47951424.

The previous prime is 97564063. The next prime is 97564097. The reversal of 97564072 is 27046579.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137254 + ... + 137962.

It is an arithmetic number, because the mean of its divisors is an integer number (5814900).

Almost surely, 2^97564072 is an apocalyptic number.

It is an amenable number.

97564072 is a deficient number, since it is larger than the sum of its proper divisors (88512728).

97564072 is a wasteful number, since it uses less digits than its factorization.

97564072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 97564072 is about 9877.4527080619. The cubic root of 97564072 is about 460.3590014123.

The spelling of 97564072 in words is "ninety-seven million, five hundred sixty-four thousand, seventy-two".