112872564 has 36 divisors (see below), whose sum is σ = 326077024. Its totient is φ = 32249232.

The previous prime is 112872517. The next prime is 112872583. The reversal of 112872564 is 465278211.

112872564 is a `hidden beast` number, since 1 + 1 + 28 + 72 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 223702 + ... + 224205.

Almost surely, 2^112872564 is an apocalyptic number.

112872564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

112872564 is an abundant number, since it is smaller than the sum of its proper divisors (213204460).

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

112872564 is a wasteful number, since it uses less digits than its factorization.

112872564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447924 (or 447919 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 112872564 is about 10624.1500365912. The cubic root of 112872564 is about 483.2770037670.

The spelling of 112872564 in words is "one hundred twelve million, eight hundred seventy-two thousand, five hundred sixty-four".