73916015625 has 99 divisors (see below), whose sum is σ = 138220212013. Its totient is φ = 38062500000.

The previous prime is 73916015599. The next prime is 73916015627. The reversal of 73916015625 is 52651061937.

The square root of 73916015625 is 271875.

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

73916015625 is a `hidden beast` number, since 7 + 3 + 9 + 1 + 6 + 0 + 15 + 625 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 29593976841 + 44322038784 = 172029^2 + 210528^2 .

It is not a de Polignac number, because 73916015625 - 2¹⁵ = 73915982857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73916015627) by changing a digit.

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 98 ways as a sum of consecutive naturals, for example, 2548828111 + ... + 2548828139.

Almost surely, 2^73916015625 is an apocalyptic number.

73916015625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

73916015625 is the 271875-th square number.

73916015625 is the 135938-th centered octagonal number.

It is an amenable number.

73916015625 is a deficient number, since it is larger than the sum of its proper divisors (64304196388).

73916015625 is an frugal number, since it uses more digits than its factorization.

73916015625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 73916015625 in words is "seventy-three billion, nine hundred sixteen million, fifteen thousand, six hundred twenty-five".