72054680847336 has 384 divisors, whose sum is σ = 226312023600000. Its totient is φ = 20481548820480.

The previous prime is 72054680847299. The next prime is 72054680847349. The reversal of 72054680847336 is 63374808645027.

72054680847336 is a `hidden beast` number, since 7 + 2 + 0 + 54 + 6 + 80 + 8 + 473 + 36 = 666.

It is a super-2 number, since 2×72054680847336² (a number of 29 digits) contains 22 as substring.

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, 801908140 + ... + 801997988.

It is an arithmetic number, because the mean of its divisors is an integer number (589354228125).

Almost surely, 2^{72054680847336} is an apocalyptic number.

72054680847336 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 72054680847336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113156011800000).

72054680847336 is an abundant number, since it is smaller than the sum of its proper divisors (154257342752664).

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

72054680847336 is a wasteful number, since it uses less digits than its factorization.

72054680847336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90417 (or 90410 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 72054680847336 in words is "seventy-two trillion, fifty-four billion, six hundred eighty million, eight hundred forty-seven thousand, three hundred thirty-six".