364365072 has 90 divisors (see below), whose sum is σ = 1054071486. Its totient is φ = 117492480.

The previous prime is 364365059. The next prime is 364365083. The reversal of 364365072 is 270563463.

364365072 is a `hidden beast` number, since 3 + 643 + 6 + 5 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 255872016 + 108493056 = 15996^2 + 10416^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 137068 + ... + 139700.

Almost surely, 2^364365072 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 364365072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527035743).

364365072 is an abundant number, since it is smaller than the sum of its proper divisors (689706414).

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

364365072 is a wasteful number, since it uses less digits than its factorization.

364365072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 364365072 is about 19088.3491166732. The cubic root of 364365072 is about 714.2423205943.

The spelling of 364365072 in words is "three hundred sixty-four million, three hundred sixty-five thousand, seventy-two".