712572 has 48 divisors (see below), whose sum is σ = 2016000. Its totient is φ = 191232.

The previous prime is 712571. The next prime is 712573. The reversal of 712572 is 275217.

It is an interprime number because it is at equal distance from previous prime (712571) and next prime (712573).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712571) 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, 1179 + ... + 1677.

It is an arithmetic number, because the mean of its divisors is an integer number (42000).

2⁷¹²⁵⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008000).

712572 is an abundant number, since it is smaller than the sum of its proper divisors (1303428).

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

712572 is a wasteful number, since it uses less digits than its factorization.

712572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 528 counting only the distinct ones).

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

The square root of 712572 is about 844.1397988485. The cubic root of 712572 is about 89.3188078163.

Adding to 712572 its reverse (275217), we get a palindrome (987789).

The spelling of 712572 in words is "seven hundred twelve thousand, five hundred seventy-two".