72567601410 has 64 divisors (see below), whose sum is σ = 177526137600. Its totient is φ = 18979418880.

The previous prime is 72567601409. The next prime is 72567601441. The reversal of 72567601410 is 1410676527.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581859 + ... + 695481.

It is an arithmetic number, because the mean of its divisors is an integer number (2773845900).

Almost surely, 2^72567601410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72567601410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88763068800).

72567601410 is an abundant number, since it is smaller than the sum of its proper divisors (104958536190).

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

72567601410 is a wasteful number, since it uses less digits than its factorization.

72567601410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114043.

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 72567601410 in words is "seventy-two billion, five hundred sixty-seven million, six hundred one thousand, four hundred ten".