72385850240 has 256 divisors, whose sum is σ = 199239782400. Its totient is φ = 24889835520.

The previous prime is 72385850239. The next prime is 72385850249. The reversal of 72385850240 is 4205858327.

It is a super-2 number, since 2×72385850240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 72385850191 and 72385850200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72385850249) 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, 14408369 + ... + 14413391.

It is an arithmetic number, because the mean of its divisors is an integer number (778280400).

Almost surely, 2^72385850240 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 72385850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99619891200).

72385850240 is an abundant number, since it is smaller than the sum of its proper divisors (126853932160).

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

72385850240 is a wasteful number, since it uses less digits than its factorization.

72385850240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5165 (or 5153 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 44.

The spelling of 72385850240 in words is "seventy-two billion, three hundred eighty-five million, eight hundred fifty thousand, two hundred forty".