357972 has 24 divisors (see below), whose sum is σ = 872256. Its totient is φ = 114048.

The previous prime is 357967. The next prime is 357977. The reversal of 357972 is 279753.

It is an interprime number because it is at equal distance from previous prime (357967) and next prime (357977).

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 357972.

It is not an unprimeable number, because it can be changed into a prime (357977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373 + ... + 924.

It is an arithmetic number, because the mean of its divisors is an integer number (36344).

2³⁵⁷⁹⁷² is an apocalyptic number.

It is an amenable number.

357972 is an abundant number, since it is smaller than the sum of its proper divisors (514284).

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

357972 is a wasteful number, since it uses less digits than its factorization.

357972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1325 counting only the distinct ones).

The product of its digits is 13230, while the sum is 33.

The square root of 357972 is about 598.3076131891. The cubic root of 357972 is about 71.0040333621.

It can be divided in two parts, 3 and 57972, that added together give a palindrome (57975).

The spelling of 357972 in words is "three hundred fifty-seven thousand, nine hundred seventy-two".