365372 has 12 divisors (see below), whose sum is σ = 730800. Its totient is φ = 156576.

The previous prime is 365369. The next prime is 365377. The reversal of 365372 is 273563.

365372 is an admirable number.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 3¹¹ + 6⁵ + 3¹¹ + 5⁵ + 7² + 2⁷ .

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 365372.

It is not an unprimeable number, because it can be changed into a prime (365377) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6497 + ... + 6552.

It is an arithmetic number, because the mean of its divisors is an integer number (60900).

2³⁶⁵³⁷² is an apocalyptic number.

It is an amenable number.

365372 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

365372 is a wasteful number, since it uses less digits than its factorization.

365372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13060 (or 13058 counting only the distinct ones).

The product of its digits is 3780, while the sum is 26.

The square root of 365372 is about 604.4600896668. The cubic root of 365372 is about 71.4899655013.

Subtracting from 365372 its reverse (273563), we obtain a square (91809 = 303²).

It can be divided in two parts, 365 and 372, that added together give a palindrome (737).

The spelling of 365372 in words is "three hundred sixty-five thousand, three hundred seventy-two".