73912277700625 has 135 divisors (see below), whose sum is σ = 116371250569431. Its totient is φ = 46771655112000.

The previous prime is 73912277700577. The next prime is 73912277700643. The reversal of 73912277700625 is 52600777221937.

The square root of 73912277700625 is 8597225.

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 73005387173761 + 906890526864 = 8544319^2 + 952308^2 .

It is not a de Polignac number, because 73912277700625 - 2⁷ = 73912277700497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 73912277700625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 19558684986 + ... + 19558688764.

Almost surely, 2^{73912277700625} is an apocalyptic number.

73912277700625 is the 8597225-th square number.

73912277700625 is the 4298613-rd centered octagonal number.

It is an amenable number.

73912277700625 is a deficient number, since it is larger than the sum of its proper divisors (42458972868806).

73912277700625 is an frugal number, since it uses more digits than its factorization.

73912277700625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7618 (or 3804 counting only the distinct ones).

The product of its (nonzero) digits is 15558480, while the sum is 58.

The spelling of 73912277700625 in words is "seventy-three trillion, nine hundred twelve billion, two hundred seventy-seven million, seven hundred thousand, six hundred twenty-five".