157392 has 30 divisors (see below), whose sum is σ = 440882. Its totient is φ = 52416.

The previous prime is 157363. The next prime is 157393. The reversal of 157392 is 293751.

157392 is a `hidden beast` number, since 1 + 573 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 156816 + 576 = 396^2 + 24^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 12.

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 157392.

It is not an unprimeable number, because it can be changed into a prime (157393) by changing a digit.

157392 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 403 + ... + 690.

157392 is a Friedman number, since it can be written as (9*(5+1))^3-72, using all its digits and the basic arithmetic operations.

2¹⁵⁷³⁹² is an apocalyptic number.

157392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157392 is an abundant number, since it is smaller than the sum of its proper divisors (283490).

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

157392 is a wasteful number, since it uses less digits than its factorization.

157392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1098 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 157392 is about 396.7266061156. The cubic root of 157392 is about 53.9917682926.

The spelling of 157392 in words is "one hundred fifty-seven thousand, three hundred ninety-two".