72935331840 has 864 divisors, whose sum is σ = 304119204480. Its totient is φ = 16102195200.

The previous prime is 72935331827. The next prime is 72935331883. The reversal of 72935331840 is 4813353927.

72935331840 is a `hidden beast` number, since 7 + 293 + 5 + 3 + 318 + 40 = 666.

It is a super-2 number, since 2×72935331840² (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 139990780 + ... + 139991300.

It is an arithmetic number, because the mean of its divisors is an integer number (351989820).

Almost surely, 2^72935331840 is an apocalyptic number.

72935331840 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 72935331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152059602240).

72935331840 is an abundant number, since it is smaller than the sum of its proper divisors (231183872640).

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

72935331840 is a wasteful number, since it uses less digits than its factorization.

72935331840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 72935331840 in words is "seventy-two billion, nine hundred thirty-five million, three hundred thirty-one thousand, eight hundred forty".