8257072672 has 24 divisors (see below), whose sum is σ = 16562834316. Its totient is φ = 4050638592.

The previous prime is 8257072651. The next prime is 8257072693. The reversal of 8257072672 is 2762707528.

It is an interprime number because it is at equal distance from previous prime (8257072651) and next prime (8257072693).

It can be written as a sum of positive squares in 2 ways, for example, as 8185906576 + 71166096 = 90476^2 + 8436^2 .

It is a super-2 number, since 2×8257072672² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2432583 + ... + 2435974.

Almost surely, 2^8257072672 is an apocalyptic number.

It is an amenable number.

8257072672 is an abundant number, since it is smaller than the sum of its proper divisors (8305761644).

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

8257072672 is a wasteful number, since it uses less digits than its factorization.

8257072672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4868620 (or 4868612 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 46.

The square root of 8257072672 is about 90868.4360600533. The cubic root of 8257072672 is about 2021.1972669010.

The spelling of 8257072672 in words is "eight billion, two hundred fifty-seven million, seventy-two thousand, six hundred seventy-two".