157272 has 16 divisors (see below), whose sum is σ = 393240. Its totient is φ = 52416.

The previous prime is 157271. The next prime is 157273. The reversal of 157272 is 272751.

It is an interprime number because it is at equal distance from previous prime (157271) and next prime (157273).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 6553 = 157272 / (1 + 5 + 7 + 2 + 7 + 2).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157271) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3253 + ... + 3300.

2¹⁵⁷²⁷² is an apocalyptic number.

157272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157272 is an abundant number, since it is smaller than the sum of its proper divisors (235968).

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

157272 is a wasteful number, since it uses less digits than its factorization.

157272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6562 (or 6558 counting only the distinct ones).

The product of its digits is 980, while the sum is 24.

The square root of 157272 is about 396.5753396267. The cubic root of 157272 is about 53.9780431996.

The spelling of 157272 in words is "one hundred fifty-seven thousand, two hundred seventy-two".