363672 has 24 divisors (see below), whose sum is σ = 985140. Its totient is φ = 121200.

The previous prime is 363659. The next prime is 363677. The reversal of 363672 is 276363.

It is a tau number, because it is divible by the number of its divisors (24).

It is an alternating number because its digits alternate between odd and even.

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 363672.

It is not an unprimeable number, because it can be changed into a prime (363677) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2454 + ... + 2597.

2³⁶³⁶⁷² is an apocalyptic number.

It is an amenable number.

363672 is an abundant number, since it is smaller than the sum of its proper divisors (621468).

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

363672 is a wasteful number, since it uses less digits than its factorization.

363672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5063 (or 5056 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 363672 is about 603.0522365434. The cubic root of 363672 is about 71.3789171093.

It can be divided in two parts, 363 and 672, that added together give a triangular number (1035 = T₄₅).

The spelling of 363672 in words is "three hundred sixty-three thousand, six hundred seventy-two".