157212 has 36 divisors (see below), whose sum is σ = 434616. Its totient is φ = 47520.

The previous prime is 157211. The next prime is 157217. The reversal of 157212 is 212751.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×157212² = 49431225888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198 + ... + 594.

2¹⁵⁷²¹² is an apocalyptic number.

157212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 396×397.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217308).

157212 is an abundant number, since it is smaller than the sum of its proper divisors (277404).

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

157212 is a wasteful number, since it uses less digits than its factorization.

157212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 413 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 157212 is about 396.4996847414. The cubic root of 157212 is about 53.9711780349.

Adding to 157212 its reverse (212751), we get a palindrome (369963).

It can be divided in two parts, 15 and 7212, that added together give a palindrome (7227).

The spelling of 157212 in words is "one hundred fifty-seven thousand, two hundred twelve".