157632 has 28 divisors (see below), whose sum is σ = 417576. Its totient is φ = 52480.

The previous prime is 157627. The next prime is 157637. The reversal of 157632 is 236751.

It is an interprime number because it is at equal distance from previous prime (157627) and next prime (157637).

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 (157637) by changing a digit.

157632 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 3 ways as a sum of consecutive naturals, for example, 219 + ... + 602.

2¹⁵⁷⁶³² is an apocalyptic number.

157632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157632 is an abundant number, since it is smaller than the sum of its proper divisors (259944).

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

157632 is an equidigital number, since it uses as much as digits as its factorization.

157632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 826 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 157632 is about 397.0289661977. The cubic root of 157632 is about 54.0191975638.

The spelling of 157632 in words is "one hundred fifty-seven thousand, six hundred thirty-two".