72386751360 has 768 divisors, whose sum is σ = 295872134400. Its totient is φ = 14884208640.

The previous prime is 72386751347. The next prime is 72386751391. The reversal of 72386751360 is 6315768327.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116941131 + ... + 116941749.

It is an arithmetic number, because the mean of its divisors is an integer number (385250175).

Almost surely, 2^72386751360 is an apocalyptic number.

72386751360 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 72386751360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147936067200).

72386751360 is an abundant number, since it is smaller than the sum of its proper divisors (223485383040).

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

72386751360 is a wasteful number, since it uses less digits than its factorization.

72386751360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 72386751360 in words is "seventy-two billion, three hundred eighty-six million, seven hundred fifty-one thousand, three hundred sixty".