73122649744 has 45 divisors (see below), whose sum is σ = 143963928297. Its totient is φ = 35979939072.

The previous prime is 73122649727. The next prime is 73122649759. The reversal of 73122649744 is 44794622137.

The square root of 73122649744 is 270412.

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

It can be written as a sum of positive squares in only one way, i.e., 22443635344 + 50679014400 = 149812^2 + 225120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 72469912 + ... + 72470920.

Almost surely, 2^73122649744 is an apocalyptic number.

73122649744 is the 270412-nd square number.

It is an amenable number.

73122649744 is a deficient number, since it is larger than the sum of its proper divisors (70841278553).

73122649744 is an frugal number, since it uses more digits than its factorization.

73122649744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 1078 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 49.

Multiplying 73122649744 by its sum of digits (49), we get a square (3583009837456 = 1892884²).

The spelling of 73122649744 in words is "seventy-three billion, one hundred twenty-two million, six hundred forty-nine thousand, seven hundred forty-four".