713952 has 72 divisors (see below), whose sum is σ = 2116296. Its totient is φ = 228096.

The previous prime is 713941. The next prime is 713957. The reversal of 713952 is 259317.

It is a tau number, because it is divible by the number of its divisors (72).

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 713952.

It is not an unprimeable number, because it can be changed into a prime (713957) by changing a digit.

713952 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 11 ways as a sum of consecutive naturals, for example, 10623 + ... + 10689.

It is an arithmetic number, because the mean of its divisors is an integer number (29393).

2⁷¹³⁹⁵² is an apocalyptic number.

713952 is a gapful number since it is divisible by the number (72) 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 713952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058148).

713952 is an abundant number, since it is smaller than the sum of its proper divisors (1402344).

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

713952 is a wasteful number, since it uses less digits than its factorization.

713952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 109 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 713952 is about 844.9568036296. The cubic root of 713952 is about 89.3764302834.

The spelling of 713952 in words is "seven hundred thirteen thousand, nine hundred fifty-two".