72002917284 has 48 divisors (see below), whose sum is σ = 168520746240. Its totient is φ = 23927669920.

The previous prime is 72002917249. The next prime is 72002917289. The reversal of 72002917284 is 48271920027.

It is not an unprimeable number, because it can be changed into a prime (72002917289) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5394499 + ... + 5407829.

It is an arithmetic number, because the mean of its divisors is an integer number (3510848880).

Almost surely, 2^72002917284 is an apocalyptic number.

It is an amenable number.

72002917284 is an abundant number, since it is smaller than the sum of its proper divisors (96517828956).

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

72002917284 is a wasteful number, since it uses less digits than its factorization.

72002917284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14680 (or 14678 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 72002917284 in words is "seventy-two billion, two million, nine hundred seventeen thousand, two hundred eighty-four".