73417153936 has 45 divisors (see below), whose sum is σ = 165486630369. Its totient is φ = 31461243072.

The previous prime is 73417153883. The next prime is 73417153937. The reversal of 73417153936 is 63935171437.

The square root of 73417153936 is 270956.

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., 50113299600 + 23303854336 = 223860^2 + 152656^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 73417153936.

It is not an unprimeable number, because it can be changed into a prime (73417153937) 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, 7581930 + ... + 7591606.

Almost surely, 2^73417153936 is an apocalyptic number.

73417153936 is the 270956-th square number.

It is an amenable number.

73417153936 is an abundant number, since it is smaller than the sum of its proper divisors (92069476433).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73417153936 is an frugal number, since it uses more digits than its factorization.

73417153936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19376 (or 9686 counting only the distinct ones).

The product of its digits is 1428840, while the sum is 49.

Multiplying 73417153936 by its sum of digits (49), we get a square (3597440542864 = 1896692²).

73417153936 divided by its sum of digits (49) gives a square (1498309264 = 38708²).

The spelling of 73417153936 in words is "seventy-three billion, four hundred seventeen million, one hundred fifty-three thousand, nine hundred thirty-six".