72831316590 has 128 divisors (see below), whose sum is σ = 201142656000. Its totient is φ = 18730631808.

The previous prime is 72831316573. The next prime is 72831316601. The reversal of 72831316590 is 9561313827.

72831316590 is a `hidden beast` number, since 7 + 28 + 3 + 1 + 31 + 6 + 590 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7566801 + ... + 7576419.

It is an arithmetic number, because the mean of its divisors is an integer number (1571427000).

Almost surely, 2^72831316590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72831316590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100571328000).

72831316590 is an abundant number, since it is smaller than the sum of its proper divisors (128311339410).

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

72831316590 is a wasteful number, since it uses less digits than its factorization.

72831316590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10631 (or 10625 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 72831316590 in words is "seventy-two billion, eight hundred thirty-one million, three hundred sixteen thousand, five hundred ninety".