362772 has 24 divisors (see below), whose sum is σ = 940800. Its totient is φ = 120888.

The previous prime is 362759. The next prime is 362801. The reversal of 362772 is 277263.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1572 + ... + 1787.

It is an arithmetic number, because the mean of its divisors is an integer number (39200).

2³⁶²⁷⁷² is an apocalyptic number.

It is an amenable number.

362772 is an abundant number, since it is smaller than the sum of its proper divisors (578028).

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

362772 is a wasteful number, since it uses less digits than its factorization.

362772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372 (or 3364 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 362772 is about 602.3055702880. The cubic root of 362772 is about 71.3199866335.

The spelling of 362772 in words is "three hundred sixty-two thousand, seven hundred seventy-two".