152712 has 64 divisors (see below), whose sum is σ = 489600. Its totient is φ = 43200.

The previous prime is 152681. The next prime is 152717. The reversal of 152712 is 217251.

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 (152717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1462 + ... + 1562.

It is an arithmetic number, because the mean of its divisors is an integer number (7650).

2¹⁵²⁷¹² is an apocalyptic number.

152712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244800).

152712 is an abundant number, since it is smaller than the sum of its proper divisors (336888).

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

152712 is a wasteful number, since it uses less digits than its factorization.

152712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 113 counting only the distinct ones).

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

The square root of 152712 is about 390.7838277104. The cubic root of 152712 is about 53.4512322357.

Adding to 152712 its reverse (217251), we get a palindrome (369963).

The spelling of 152712 in words is "one hundred fifty-two thousand, seven hundred twelve".