72391765854240 has 768 divisors, whose sum is σ = 290335217356800. Its totient is φ = 16502858735616.

The previous prime is 72391765854179. The next prime is 72391765854251. The reversal of 72391765854240 is 4245856719327.

It is a happy number.

72391765854240 is a `hidden beast` number, since 7 + 2 + 3 + 9 + 1 + 7 + 6 + 585 + 4 + 2 + 40 = 666.

It is a super-3 number, since 3×72391765854240³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30455095932 + ... + 30455098308.

It is an arithmetic number, because the mean of its divisors is an integer number (378040647600).

It is a 1-persistent number, because it is pandigital, but 2⋅72391765854240 = 144783531708480 is not.

Almost surely, 2^{72391765854240} is an apocalyptic number.

72391765854240 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 72391765854240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145167608678400).

72391765854240 is an abundant number, since it is smaller than the sum of its proper divisors (217943451502560).

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

72391765854240 is a wasteful number, since it uses less digits than its factorization.

72391765854240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4654 (or 4640 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 72391765854240 in words is "seventy-two trillion, three hundred ninety-one billion, seven hundred sixty-five million, eight hundred fifty-four thousand, two hundred forty".