362072 has 8 divisors (see below), whose sum is σ = 678900. Its totient is φ = 181032.

The previous prime is 362069. The next prime is 362081. The reversal of 362072 is 270263.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×362072² = 262192266368, which contains 22 as substring.

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 362072.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22622 + ... + 22637.

2³⁶²⁰⁷² is an apocalyptic number.

It is an amenable number.

362072 is a deficient number, since it is larger than the sum of its proper divisors (316828).

362072 is a wasteful number, since it uses less digits than its factorization.

362072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45265 (or 45261 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 362072 is about 601.7241893094. The cubic root of 362072 is about 71.2740843992.

Subtracting from 362072 its reverse (270263), we obtain a square (91809 = 303²).

The spelling of 362072 in words is "three hundred sixty-two thousand, seventy-two".