72727875 has 80 divisors (see below), whose sum is σ = 148138848. Its totient is φ = 35208000.

The previous prime is 72727871. The next prime is 72727901. The reversal of 72727875 is 57872727.

It is a happy number.

It is not a de Polignac number, because 72727875 - 2² = 72727871 is a prime.

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 72727875.

It is not an unprimeable number, because it can be changed into a prime (72727871) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 111049 + ... + 111701.

Almost surely, 2^72727875 is an apocalyptic number.

72727875 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72727875 is an abundant number, since it is smaller than the sum of its proper divisors (75410973).

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

72727875 is a wasteful number, since it uses less digits than its factorization.

72727875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 672 counting only the distinct ones).

The product of its digits is 384160, while the sum is 45.

The square root of 72727875 is about 8528.0639655200. The cubic root of 72727875 is about 417.4139567147.

Subtracting from 72727875 its sum of digits (45), we obtain a triangular number (72727830 = T₁₂₀₆₀).

The spelling of 72727875 in words is "seventy-two million, seven hundred twenty-seven thousand, eight hundred seventy-five".