718872 has 64 divisors (see below), whose sum is σ = 2246400. Its totient is φ = 186240.

The previous prime is 718871. The next prime is 718897. The reversal of 718872 is 278817.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 718872.

It is not an unprimeable number, because it can be changed into a prime (718871) 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, 1654 + ... + 2042.

It is an arithmetic number, because the mean of its divisors is an integer number (35100).

2⁷¹⁸⁸⁷² 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 718872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123200).

718872 is an abundant number, since it is smaller than the sum of its proper divisors (1527528).

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

718872 is a wasteful number, since it uses less digits than its factorization.

718872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 412 counting only the distinct ones).

The product of its digits is 6272, while the sum is 33.

The square root of 718872 is about 847.8631965123. The cubic root of 718872 is about 89.5812646839.

It can be divided in two parts, 7188 and 72, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 718872 in words is "seven hundred eighteen thousand, eight hundred seventy-two".