72867844 has 24 divisors (see below), whose sum is σ = 145918080. Its totient is φ = 31190016.

The previous prime is 72867829. The next prime is 72867859. The reversal of 72867844 is 44876827.

It is an interprime number because it is at equal distance from previous prime (72867829) and next prime (72867859).

It is a junction number, because it is equal to n+sod(n) for n = 72867794 and 72867803.

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, 38529 + ... + 40375.

It is an arithmetic number, because the mean of its divisors is an integer number (6079920).

Almost surely, 2^72867844 is an apocalyptic number.

It is an amenable number.

72867844 is an abundant number, since it is smaller than the sum of its proper divisors (73050236).

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

72867844 is a wasteful number, since it uses less digits than its factorization.

72867844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3265 counting only the distinct ones).

The product of its digits is 602112, while the sum is 46.

The square root of 72867844 is about 8536.2663969677. The cubic root of 72867844 is about 417.6815642098.

The spelling of 72867844 in words is "seventy-two million, eight hundred sixty-seven thousand, eight hundred forty-four".