72801755 has 16 divisors (see below), whose sum is σ = 96628224. Its totient is φ = 52306560.

The previous prime is 72801737. The next prime is 72801763. The reversal of 72801755 is 55710827.

It is not a de Polignac number, because 72801755 - 2⁸ = 72801499 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12731 + ... + 17540.

It is an arithmetic number, because the mean of its divisors is an integer number (6039264).

Almost surely, 2^72801755 is an apocalyptic number.

72801755 is a deficient number, since it is larger than the sum of its proper divisors (23826469).

72801755 is a wasteful number, since it uses less digits than its factorization.

72801755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30326.

The product of its (nonzero) digits is 19600, while the sum is 35.

The square root of 72801755 is about 8532.3944470471. The cubic root of 72801755 is about 417.5552510335. Note that the first 3 decimals are identical.

The spelling of 72801755 in words is "seventy-two million, eight hundred one thousand, seven hundred fifty-five".