72587600442 has 64 divisors (see below), whose sum is σ = 184559558400. Its totient is φ = 20715678720.

The previous prime is 72587600441. The next prime is 72587600447. The reversal of 72587600442 is 24400678527.

It is a happy number.

72587600442 is a `hidden beast` number, since 7 + 2 + 587 + 60 + 0 + 4 + 4 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (72587600441) 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, 224034 + ... + 442002.

It is an arithmetic number, because the mean of its divisors is an integer number (2883743100).

Almost surely, 2^72587600442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72587600442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92279779200).

72587600442 is an abundant number, since it is smaller than the sum of its proper divisors (111971957958).

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

72587600442 is a wasteful number, since it uses less digits than its factorization.

72587600442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218868 (or 218862 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 72587600442 in words is "seventy-two billion, five hundred eighty-seven million, six hundred thousand, four hundred forty-two".