712976544 has 144 divisors (see below), whose sum is σ = 2328056640. Its totient is φ = 202752000.

The previous prime is 712976543. The next prime is 712976587. The reversal of 712976544 is 445679217.

712976544 is a `hidden beast` number, since 7 + 12 + 97 + 6 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 712976544.

It is not an unprimeable number, because it can be changed into a prime (712976543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505312 + ... + 506720.

It is an arithmetic number, because the mean of its divisors is an integer number (16167060).

Almost surely, 2^712976544 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 712976544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164028320).

712976544 is an abundant number, since it is smaller than the sum of its proper divisors (1615080096).

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

712976544 is a wasteful number, since it uses less digits than its factorization.

712976544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1672 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 712976544 is about 26701.6206249733. The cubic root of 712976544 is about 893.3570741939.

It can be divided in two parts, 71297 and 6544, that added together give a square (77841 = 279²).

The spelling of 712976544 in words is "seven hundred twelve million, nine hundred seventy-six thousand, five hundred forty-four".