73416612025 has 27 divisors (see below), whose sum is σ = 93095501421. Its totient is φ = 57433789440.

The previous prime is 73416611987. The next prime is 73416612041. The reversal of 73416612025 is 52021661437.

The square root of 73416612025 is 270955.

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 2048558121 + 71368053904 = 45261^2 + 267148^2 .

It is not a de Polignac number, because 73416612025 - 2³⁵ = 39056873657 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, 63673849 + ... + 63675001.

Almost surely, 2^73416612025 is an apocalyptic number.

73416612025 is the 270955-th square number.

73416612025 is the 135478-th centered octagonal number.

It is an amenable number.

73416612025 is a deficient number, since it is larger than the sum of its proper divisors (19678889396).

73416612025 is an frugal number, since it uses more digits than its factorization.

73416612025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 73416612025 in words is "seventy-three billion, four hundred sixteen million, six hundred twelve thousand, twenty-five".