713372000 has 192 divisors, whose sum is σ = 1977550848. Its totient is φ = 250560000.

The previous prime is 713371991. The next prime is 713372039. The reversal of 713372000 is 273317.

It is a super-2 number, since 2×713372000² = 1017799220768000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1363739 + ... + 1364261.

It is an arithmetic number, because the mean of its divisors is an integer number (10299744).

Almost surely, 2^713372000 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 713372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988775424).

713372000 is an abundant number, since it is smaller than the sum of its proper divisors (1264178848).

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

713372000 is a wasteful number, since it uses less digits than its factorization.

713372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 23.

The square root of 713372000 is about 26709.0246920400. The cubic root of 713372000 is about 893.5222119868.

It can be divided in two parts, 71337 and 2000, that added together give a palindrome (73337).

The spelling of 713372000 in words is "seven hundred thirteen million, three hundred seventy-two thousand".