1072431504 has 45 divisors (see below), whose sum is σ = 3002418913. Its totient is φ = 357346176.

The previous prime is 1072431487. The next prime is 1072431509. The reversal of 1072431504 is 4051342701.

The square root of 1072431504 is 32748.

It is a perfect power (a square), and thus also a powerful number.

1072431504 is a `hidden beast` number, since 107 + 24 + 31 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1033493904 + 38937600 = 32148^2 + 6240^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1072431509) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 391612 + ... + 394340.

Almost surely, 2^1072431504 is an apocalyptic number.

1072431504 is the 32748-th square number.

It is an amenable number.

1072431504 is an abundant number, since it is smaller than the sum of its proper divisors (1929987409).

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

1072431504 is an frugal number, since it uses more digits than its factorization.

1072431504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5472 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The cubic root of 1072431504 is about 1023.5832909363.

The spelling of 1072431504 in words is "one billion, seventy-two million, four hundred thirty-one thousand, five hundred four".