372084 has 24 divisors (see below), whose sum is σ = 879648. Its totient is φ = 122400.

The previous prime is 372067. The next prime is 372107. The reversal of 372084 is 480273.

It is a congruent number.

It is an unprimeable number.

372084 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 1059 + ... + 1365.

It is an arithmetic number, because the mean of its divisors is an integer number (36652).

2³⁷²⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

372084 is an abundant number, since it is smaller than the sum of its proper divisors (507564).

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

372084 is a wasteful number, since it uses less digits than its factorization.

372084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 372084 is about 609.9868851049. The cubic root of 372084 is about 71.9250763821.

The spelling of 372084 in words is "three hundred seventy-two thousand, eighty-four".