712752 has 40 divisors (see below), whose sum is σ = 1904640. Its totient is φ = 229440.

The previous prime is 712739. The next prime is 712781. The reversal of 712752 is 257217.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1249 + ... + 1727.

It is an arithmetic number, because the mean of its divisors is an integer number (47616).

2⁷¹²⁷⁵² 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 712752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952320).

712752 is an abundant number, since it is smaller than the sum of its proper divisors (1191888).

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

712752 is a wasteful number, since it uses less digits than its factorization.

712752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 515 counting only the distinct ones).

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

The square root of 712752 is about 844.2464095275. The cubic root of 712752 is about 89.3263280069.

Adding to 712752 its reverse (257217), we get a palindrome (969969).

Subtracting from 712752 its reverse (257217), we obtain a triangular number (455535 = T₉₅₄).

The spelling of 712752 in words is "seven hundred twelve thousand, seven hundred fifty-two".