72267741737856 has 512 divisors, whose sum is σ = 256684380672000. Its totient is φ = 19553977497600.

The previous prime is 72267741737831. The next prime is 72267741737857. The reversal of 72267741737856 is 65873714776227.

It is a happy number.

72267741737856 is a `hidden beast` number, since 7 + 2 + 26 + 77 + 417 + 3 + 78 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72267741737857) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1310428875 + ... + 1310484021.

It is an arithmetic number, because the mean of its divisors is an integer number (501336681000).

Almost surely, 2^{72267741737856} is an apocalyptic number.

72267741737856 is a gapful number since it is divisible by the number (76) 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 72267741737856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128342190336000).

72267741737856 is an abundant number, since it is smaller than the sum of its proper divisors (184416638934144).

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

72267741737856 is a wasteful number, since it uses less digits than its factorization.

72267741737856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58047 (or 58029 counting only the distinct ones).

The product of its digits is 1161699840, while the sum is 72.

The spelling of 72267741737856 in words is "seventy-two trillion, two hundred sixty-seven billion, seven hundred forty-one million, seven hundred thirty-seven thousand, eight hundred fifty-six".