72334931760 has 480 divisors, whose sum is σ = 299638405248. Its totient is φ = 15228518400.

The previous prime is 72334931731. The next prime is 72334931761. The reversal of 72334931760 is 6713943327.

It is a happy number.

72334931760 is a `hidden beast` number, since 7 + 233 + 49 + 317 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (72334931761) 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, 40162860 + ... + 40164660.

Almost surely, 2^72334931760 is an apocalyptic number.

72334931760 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 72334931760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149819202624).

72334931760 is an abundant number, since it is smaller than the sum of its proper divisors (227303473488).

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

72334931760 is a wasteful number, since it uses less digits than its factorization.

72334931760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 72334931760 in words is "seventy-two billion, three hundred thirty-four million, nine hundred thirty-one thousand, seven hundred sixty".