712872 has 24 divisors (see below), whose sum is σ = 1930890. Its totient is φ = 237600.

The previous prime is 712847. The next prime is 712883. The reversal of 712872 is 278217.

It can be written as a sum of positive squares in only one way, i.e., 427716 + 285156 = 654^2 + 534^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

712872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4879 + ... + 5022.

2⁷¹²⁸⁷² is an apocalyptic number.

712872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

712872 is an abundant number, since it is smaller than the sum of its proper divisors (1218018).

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

712872 is a wasteful number, since it uses less digits than its factorization.

712872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9913 (or 9906 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 712872 is about 844.3174758348. The cubic root of 712872 is about 89.3313407640.

It can be divided in two parts, 71287 and 2, that added together give a square (71289 = 267²).

The spelling of 712872 in words is "seven hundred twelve thousand, eight hundred seventy-two".