72031693440 has 768 divisors, whose sum is σ = 286327872000. Its totient is φ = 15311020032.

The previous prime is 72031693427. The next prime is 72031693441. The reversal of 72031693440 is 4439613027.

It is not an unprimeable number, because it can be changed into a prime (72031693441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105463339 + ... + 105464021.

It is an arithmetic number, because the mean of its divisors is an integer number (372822750).

Almost surely, 2^72031693440 is an apocalyptic number.

72031693440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72031693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143163936000).

72031693440 is an abundant number, since it is smaller than the sum of its proper divisors (214296178560).

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

72031693440 is a wasteful number, since it uses less digits than its factorization.

72031693440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 72031693440 in words is "seventy-two billion, thirty-one million, six hundred ninety-three thousand, four hundred forty".