72773505 has 64 divisors (see below), whose sum is σ = 150750720. Its totient is φ = 32617728.

The previous prime is 72773479. The next prime is 72773507. The reversal of 72773505 is 50537727.

It is not a de Polignac number, because 72773505 - 2⁵ = 72773473 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 72773505.

It is not an unprimeable number, because it can be changed into a prime (72773507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49359 + ... + 50811.

It is an arithmetic number, because the mean of its divisors is an integer number (2355480).

Almost surely, 2^72773505 is an apocalyptic number.

It is an amenable number.

72773505 is an abundant number, since it is smaller than the sum of its proper divisors (77977215).

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

72773505 is a wasteful number, since it uses less digits than its factorization.

72773505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 51450, while the sum is 36.

The square root of 72773505 is about 8530.7388308399. The cubic root of 72773505 is about 417.5012346528.

The spelling of 72773505 in words is "seventy-two million, seven hundred seventy-three thousand, five hundred five".