712252944 has 120 divisors (see below), whose sum is σ = 2273026392. Its totient is φ = 206254080.

The previous prime is 712252921. The next prime is 712252967. The reversal of 712252944 is 449252217.

712252944 is a `hidden beast` number, since 7 + 122 + 529 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (712252921) and next prime (712252967).

It can be written as a sum of positive squares in 4 ways, for example, as 106502400 + 605750544 = 10320^2 + 24612^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 712252899 and 712252908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20634 + ... + 43014.

Almost surely, 2^712252944 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 712252944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136513196).

712252944 is an abundant number, since it is smaller than the sum of its proper divisors (1560773448).

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

712252944 is a wasteful number, since it uses less digits than its factorization.

712252944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22425 (or 22416 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 712252944 is about 26688.0674459579. The cubic root of 712252944 is about 893.0547491520.

The spelling of 712252944 in words is "seven hundred twelve million, two hundred fifty-two thousand, nine hundred forty-four".