74640972025 has 27 divisors (see below), whose sum is σ = 93653373639. Its totient is φ = 59012280000.

The previous prime is 74640972013. The next prime is 74640972059. The reversal of 74640972025 is 52027904647.

It is a happy number.

The square root of 74640972025 is 273205.

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 13811655529 + 60829316496 = 117523^2 + 246636^2 .

It is not a de Polignac number, because 74640972025 - 2¹⁹ = 74640447737 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 137968255 + ... + 137968795.

Almost surely, 2^74640972025 is an apocalyptic number.

74640972025 is the 273205-th square number.

74640972025 is the 136603-rd centered octagonal number.

It is an amenable number.

74640972025 is a deficient number, since it is larger than the sum of its proper divisors (19012401614).

74640972025 is an frugal number, since it uses more digits than its factorization.

74640972025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 74640972025 in words is "seventy-four billion, six hundred forty million, nine hundred seventy-two thousand, twenty-five".