29972265625 has 27 divisors (see below), whose sum is σ = 37601054967. Its totient is φ = 23891250000.

The previous prime is 29972265611. The next prime is 29972265647. The reversal of 29972265625 is 52656227992.

The square root of 29972265625 is 173125.

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

It can be written as a sum of positive squares in 13 ways, for example, as 579220489 + 29393045136 = 24067^2 + 171444^2 .

It is not a de Polignac number, because 29972265625 - 2²⁵ = 29938711193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 108202987 + ... + 108203263.

Almost surely, 2^29972265625 is an apocalyptic number.

29972265625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29972265625 is the 173125-th square number.

29972265625 is the 86563-rd centered octagonal number.

It is an amenable number.

29972265625 is a deficient number, since it is larger than the sum of its proper divisors (7628789342).

29972265625 is an frugal number, since it uses more digits than its factorization.

29972265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 282 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 55.

It can be divided in two parts, 2997 and 2265625, that added together give a palindrome (2268622).

The spelling of 29972265625 in words is "twenty-nine billion, nine hundred seventy-two million, two hundred sixty-five thousand, six hundred twenty-five".