72859146360 has 512 divisors, whose sum is σ = 297642885120. Its totient is φ = 13776537600.

The previous prime is 72859146337. The next prime is 72859146383. The reversal of 72859146360 is 6364195827.

It is an interprime number because it is at equal distance from previous prime (72859146337) and next prime (72859146383).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 8524249 + ... + 8532791.

It is an arithmetic number, because the mean of its divisors is an integer number (581333760).

It is a 1-persistent number, because it is pandigital, but 2⋅72859146360 = 145718292720 is not.

Almost surely, 2^72859146360 is an apocalyptic number.

72859146360 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 72859146360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148821442560).

72859146360 is an abundant number, since it is smaller than the sum of its proper divisors (224783738760).

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

72859146360 is a wasteful number, since it uses less digits than its factorization.

72859146360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8659 (or 8655 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 72859146360 in words is "seventy-two billion, eight hundred fifty-nine million, one hundred forty-six thousand, three hundred sixty".