72866273760 has 768 divisors, whose sum is σ = 316779724800. Its totient is φ = 15265843200.

The previous prime is 72866273759. The next prime is 72866273761. The reversal of 72866273760 is 6737266827.

72866273760 is a `hidden beast` number, since 7 + 2 + 8 + 6 + 627 + 3 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72866273759) and next prime (72866273761).

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 = 72866273697 and 72866273706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72866273761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17809315 + ... + 17813405.

It is an arithmetic number, because the mean of its divisors is an integer number (412473600).

Almost surely, 2^72866273760 is an apocalyptic number.

72866273760 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 72866273760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158389862400).

72866273760 is an abundant number, since it is smaller than the sum of its proper divisors (243913451040).

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

72866273760 is a wasteful number, since it uses less digits than its factorization.

72866273760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 72866273760 in words is "seventy-two billion, eight hundred sixty-six million, two hundred seventy-three thousand, seven hundred sixty".