73624852921 has 9 divisors (see below), whose sum is σ = 77709233583. Its totient is φ = 69744976560.

The previous prime is 73624852909. The next prime is 73624852933. The reversal of 73624852921 is 12925842637.

It is a happy number.

The square root of 73624852921 is 271339.

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

It is an interprime number because it is at equal distance from previous prime (73624852909) and next prime (73624852933).

It can be written as a sum of positive squares in only one way, i.e., 10310521 + 73614542400 = 3211^2 + 271320^2 .

It is not a de Polignac number, because 73624852921 - 2²⁵ = 73591298489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73624852981) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5148301 + ... + 5162581.

It is an arithmetic number, because the mean of its divisors is an integer number (8634359287).

Almost surely, 2^73624852921 is an apocalyptic number.

73624852921 is the 271339-th square number.

73624852921 is the 135670-th centered octagonal number.

It is an amenable number.

73624852921 is a deficient number, since it is larger than the sum of its proper divisors (4084380662).

73624852921 is an frugal number, since it uses more digits than its factorization.

73624852921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28600 (or 14300 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

Multiplying 73624852921 by its sum of digits (49), we get a square (3607617793129 = 1899373²).

The spelling of 73624852921 in words is "seventy-three billion, six hundred twenty-four million, eight hundred fifty-two thousand, nine hundred twenty-one".