72835875 has 64 divisors (see below), whose sum is σ = 153953280. Its totient is φ = 33285600.

The previous prime is 72835843. The next prime is 72835877. The reversal of 72835875 is 57853827.

It is not a de Polignac number, because 72835875 - 2⁵ = 72835843 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 72835875.

It is not an unprimeable number, because it can be changed into a prime (72835877) 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, 22084 + ... + 25166.

It is an arithmetic number, because the mean of its divisors is an integer number (2405520).

Almost surely, 2^72835875 is an apocalyptic number.

72835875 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72835875 is an abundant number, since it is smaller than the sum of its proper divisors (81117405).

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

72835875 is a wasteful number, since it uses less digits than its factorization.

72835875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3098 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 72835875 is about 8534.3936515724. The cubic root of 72835875 is about 417.6204727214.

The spelling of 72835875 in words is "seventy-two million, eight hundred thirty-five thousand, eight hundred seventy-five".