72268875 has 192 divisors, whose sum is σ = 170726400. Its totient is φ = 29937600.

The previous prime is 72268873. The next prime is 72268877. The reversal of 72268875 is 57886227.

It is an interprime number because it is at equal distance from previous prime (72268873) and next prime (72268877).

It is not a de Polignac number, because 72268875 - 2¹ = 72268873 is a prime.

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

Its product of digits (376320) is a multiple of the sum of its prime factors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 72268875.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72268871) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3142114 + ... + 3142136.

It is an arithmetic number, because the mean of its divisors is an integer number (889200).

Almost surely, 2^72268875 is an apocalyptic number.

72268875 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72268875 is an abundant number, since it is smaller than the sum of its proper divisors (98457525).

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

72268875 is a wasteful number, since it uses less digits than its factorization.

72268875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 57 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 72268875 is about 8501.1102216122. The cubic root of 72268875 is about 416.5339755256.

The spelling of 72268875 in words is "seventy-two million, two hundred sixty-eight thousand, eight hundred seventy-five".