36858672 has 80 divisors (see below), whose sum is σ = 108430560. Its totient is φ = 11980800.

The previous prime is 36858667. The next prime is 36858743. The reversal of 36858672 is 27685863.

36858672 is a `hidden beast` number, since 3 + 68 + 586 + 7 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16672 + ... + 18752.

It is an arithmetic number, because the mean of its divisors is an integer number (1355382).

Almost surely, 2^36858672 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 36858672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54215280).

36858672 is an abundant number, since it is smaller than the sum of its proper divisors (71571888).

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

36858672 is a wasteful number, since it uses less digits than its factorization.

36858672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2127 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 36858672 is about 6071.1343256429. The cubic root of 36858672 is about 332.7973769363.

The spelling of 36858672 in words is "thirty-six million, eight hundred fifty-eight thousand, six hundred seventy-two".