366972 has 24 divisors (see below), whose sum is σ = 873936. Its totient is φ = 119808.

The previous prime is 366967. The next prime is 366973. The reversal of 366972 is 279663.

366972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 366972.

It is not an unprimeable number, because it can be changed into a prime (366973) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 348 + ... + 924.

It is an arithmetic number, because the mean of its divisors is an integer number (36414).

2³⁶⁶⁹⁷² is an apocalyptic number.

It is an amenable number.

366972 is an abundant number, since it is smaller than the sum of its proper divisors (506964).

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

366972 is a wasteful number, since it uses less digits than its factorization.

366972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 635 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 366972 is about 605.7821390566. The cubic root of 366972 is about 71.5941674139.

It can be divided in two parts, 3669 and 72, that added together give a triangular number (3741 = T₈₆).

The spelling of 366972 in words is "three hundred sixty-six thousand, nine hundred seventy-two".