712167552 has 160 divisors (see below), whose sum is σ = 2138251500. Its totient is φ = 235284480.

The previous prime is 712167551. The next prime is 712167593. The reversal of 712167552 is 255761217.

It can be written as a sum of positive squares in 2 ways, for example, as 645973056 + 66194496 = 25416^2 + 8136^2 .

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

It is not an unprimeable number, because it can be changed into a prime (712167551) 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 19 ways as a sum of consecutive naturals, for example, 1544602 + ... + 1545062.

Almost surely, 2^712167552 is an apocalyptic number.

712167552 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 712167552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069125750).

712167552 is an abundant number, since it is smaller than the sum of its proper divisors (1426083948).

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

712167552 is a wasteful number, since it uses less digits than its factorization.

712167552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 615 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The square root of 712167552 is about 26686.4675819038. The cubic root of 712167552 is about 893.0190582833.

The spelling of 712167552 in words is "seven hundred twelve million, one hundred sixty-seven thousand, five hundred fifty-two".