72231144960 has 320 divisors, whose sum is σ = 263310772032. Its totient is φ = 16733700096.

The previous prime is 72231144917. The next prime is 72231144961. The reversal of 72231144960 is 6944113227.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72231144961) 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, 1676002 + ... + 1718558.

Almost surely, 2^72231144960 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 72231144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131655386016).

72231144960 is an abundant number, since it is smaller than the sum of its proper divisors (191079627072).

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

72231144960 is a wasteful number, since it uses less digits than its factorization.

72231144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42613 (or 42597 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 72231144960 in words is "seventy-two billion, two hundred thirty-one million, one hundred forty-four thousand, nine hundred sixty".