365697072 has 120 divisors (see below), whose sum is σ = 1136869200. Its totient is φ = 112499712.

The previous prime is 365697043. The next prime is 365697103. The reversal of 365697072 is 270796563.

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 23 ways as a sum of consecutive naturals, for example, 70504 + ... + 75512.

It is an arithmetic number, because the mean of its divisors is an integer number (9473910).

Almost surely, 2^365697072 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 365697072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568434600).

365697072 is an abundant number, since it is smaller than the sum of its proper divisors (771172128).

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

365697072 is a wasteful number, since it uses less digits than its factorization.

365697072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5052 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 365697072 is about 19123.2076807213. The cubic root of 365697072 is about 715.1116079220. Note that the first 3 decimals are identical.

The spelling of 365697072 in words is "three hundred sixty-five million, six hundred ninety-seven thousand, seventy-two".