72867029760 has 864 divisors, whose sum is σ = 305344166400. Its totient is φ = 16630935552.

The previous prime is 72867029749. The next prime is 72867029783. The reversal of 72867029760 is 6792076827.

72867029760 is a `hidden beast` number, since 7 + 286 + 70 + 297 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 72867029697 and 72867029706.

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, 106686379 + ... + 106687061.

It is an arithmetic number, because the mean of its divisors is an integer number (353407600).

Almost surely, 2^72867029760 is an apocalyptic number.

72867029760 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 72867029760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152672083200).

72867029760 is an abundant number, since it is smaller than the sum of its proper divisors (232477136640).

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

72867029760 is an frugal number, since it uses more digits than its factorization.

72867029760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 72867029760 in words is "seventy-two billion, eight hundred sixty-seven million, twenty-nine thousand, seven hundred sixty".