72670680625 has 45 divisors (see below), whose sum is σ = 93433419079. Its totient is φ = 56502920000.

The previous prime is 72670680611. The next prime is 72670680629. The reversal of 72670680625 is 52608607627.

The square root of 72670680625 is 269575.

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

It can be written as a sum of positive squares in 7 ways, for example, as 72387364401 + 283316224 = 269049^2 + 16832^2 .

It is not a de Polignac number, because 72670680625 - 2¹⁹ = 72670156337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72670680629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 276314244 + ... + 276314506.

Almost surely, 2^72670680625 is an apocalyptic number.

72670680625 is the 269575-th square number.

72670680625 is the 134788-th centered octagonal number.

It is an amenable number.

72670680625 is a deficient number, since it is larger than the sum of its proper divisors (20762738454).

72670680625 is an frugal number, since it uses more digits than its factorization.

72670680625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

Multiplying 72670680625 by its sum of digits (49), we get a square (3560863350625 = 1887025²).

The spelling of 72670680625 in words is "seventy-two billion, six hundred seventy million, six hundred eighty thousand, six hundred twenty-five".