72867660 has 96 divisors (see below), whose sum is σ = 220147200. Its totient is φ = 17948160.

The previous prime is 72867649. The next prime is 72867667. The reversal of 72867660 is 6676827.

It is not an unprimeable number, because it can be changed into a prime (72867667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45961 + ... + 47519.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2^72867660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72867660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600).

72867660 is an abundant number, since it is smaller than the sum of its proper divisors (147279540).

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

72867660 is a wasteful number, since it uses less digits than its factorization.

72867660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 72867660 is about 8536.2556194153. The cubic root of 72867660 is about 417.6812126443.

The spelling of 72867660 in words is "seventy-two million, eight hundred sixty-seven thousand, six hundred sixty".