72875880 has 288 divisors, whose sum is σ = 298771200. Its totient is φ = 15079680.

The previous prime is 72875879. The next prime is 72875951. The reversal of 72875880 is 8857827.

It is a happy number.

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

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 71 ways as a sum of consecutive naturals, for example, 304801 + ... + 305039.

It is an arithmetic number, because the mean of its divisors is an integer number (1037400).

Almost surely, 2^72875880 is an apocalyptic number.

72875880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72875880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149385600).

72875880 is an abundant number, since it is smaller than the sum of its proper divisors (225895320).

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

72875880 is a wasteful number, since it uses less digits than its factorization.

72875880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 72875880 is about 8536.7370815787. The cubic root of 72875880 is about 417.6969178761.

The spelling of 72875880 in words is "seventy-two million, eight hundred seventy-five thousand, eight hundred eighty".