357072 has 40 divisors (see below), whose sum is σ = 949344. Its totient is φ = 115584.

The previous prime is 357047. The next prime is 357073. The reversal of 357072 is 270753.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (357073) 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, 1978 + ... + 2150.

2³⁵⁷⁰⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 357072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474672).

357072 is an abundant number, since it is smaller than the sum of its proper divisors (592272).

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

357072 is a wasteful number, since it uses less digits than its factorization.

357072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 357072 is about 597.5550183874. Note that the first 3 decimals coincide. The cubic root of 357072 is about 70.9444781830.

357072 divided by its sum of digits (24) gives a triangular number (14878 = T₁₇₂).

It can be divided in two parts, 3 and 57072, that added together give a palindrome (57075).

The spelling of 357072 in words is "three hundred fifty-seven thousand, seventy-two".