72052875 has 64 divisors (see below), whose sum is σ = 137055360. Its totient is φ = 37324800.

The previous prime is 72052873. The next prime is 72052889. The reversal of 72052875 is 57825027.

It is not a de Polignac number, because 72052875 - 2¹ = 72052873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72052873) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124587 + ... + 125163.

It is an arithmetic number, because the mean of its divisors is an integer number (2141490).

Almost surely, 2^72052875 is an apocalyptic number.

72052875 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72052875 is a deficient number, since it is larger than the sum of its proper divisors (65002485).

72052875 is a wasteful number, since it uses less digits than its factorization.

72052875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 72052875 is about 8488.3964916820. The cubic root of 72052875 is about 416.1185771288.

It can be divided in two parts, 72052 and 875, that added together give a palindrome (72927).

The spelling of 72052875 in words is "seventy-two million, fifty-two thousand, eight hundred seventy-five".