364072 has 16 divisors (see below), whose sum is σ = 723060. Its totient is φ = 171264.

The previous prime is 364069. The next prime is 364073. The reversal of 364072 is 270463.

It can be written as a sum of positive squares in 2 ways, for example, as 352836 + 11236 = 594^2 + 106^2 .

It is not an unprimeable number, because it can be changed into a prime (364073) 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, 1203 + ... + 1474.

2³⁶⁴⁰⁷² is an apocalyptic number.

It is an amenable number.

364072 is a deficient number, since it is larger than the sum of its proper divisors (358988).

364072 is a wasteful number, since it uses less digits than its factorization.

364072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 364072 is about 603.3837916285. The cubic root of 364072 is about 71.4050772255.

The spelling of 364072 in words is "three hundred sixty-four thousand, seventy-two".