73791006025 has 45 divisors (see below), whose sum is σ = 100874972005. Its totient is φ = 53546662400.

The previous prime is 73791006017. The next prime is 73791006061. The reversal of 73791006025 is 52060019737.

The square root of 73791006025 is 271645.

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

It can be written as a sum of positive squares in 4 ways, for example, as 65723449 + 73725282576 = 8107^2 + 271524^2 .

It is not a de Polignac number, because 73791006025 - 2³ = 73791006017 is a prime.

It is a super-2 number, since 2×73791006025² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 164345001 + ... + 164345449.

Almost surely, 2^73791006025 is an apocalyptic number.

73791006025 is the 271645-th square number.

73791006025 is the 135823-rd centered octagonal number.

It is an amenable number.

73791006025 is a deficient number, since it is larger than the sum of its proper divisors (27083965980).

73791006025 is an frugal number, since it uses more digits than its factorization.

73791006025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 40.

The spelling of 73791006025 in words is "seventy-three billion, seven hundred ninety-one million, six thousand, twenty-five".