72286128 has 40 divisors (see below), whose sum is σ = 207489200. Its totient is φ = 24095232.

The previous prime is 72286069. The next prime is 72286187. The reversal of 72286128 is 82168227.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72286069) and next prime (72286187).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72286092 and 72286101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83233 + ... + 84096.

It is an arithmetic number, because the mean of its divisors is an integer number (5187230).

Almost surely, 2^72286128 is an apocalyptic number.

It is an amenable number.

72286128 is an abundant number, since it is smaller than the sum of its proper divisors (135203072).

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

72286128 is a wasteful number, since it uses less digits than its factorization.

72286128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167346 (or 167334 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 72286128 is about 8502.1249108679. The cubic root of 72286128 is about 416.5671197567.

The spelling of 72286128 in words is "seventy-two million, two hundred eighty-six thousand, one hundred twenty-eight".