713446272 has 384 divisors, whose sum is σ = 2679091200. Its totient is φ = 184826880.

The previous prime is 713446271. The next prime is 713446319. The reversal of 713446272 is 272644317.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (713446271) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1862593 + ... + 1862975.

It is an arithmetic number, because the mean of its divisors is an integer number (6976800).

Almost surely, 2^713446272 is an apocalyptic number.

713446272 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 713446272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339545600).

713446272 is an abundant number, since it is smaller than the sum of its proper divisors (1965644928).

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

713446272 is a wasteful number, since it uses less digits than its factorization.

713446272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 406 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 713446272 is about 26710.4150473182. The cubic root of 713446272 is about 893.5532202960.

It can be divided in two parts, 713 and 446272, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 713446272 in words is "seven hundred thirteen million, four hundred forty-six thousand, two hundred seventy-two".