72615814165440 has 5376 divisors, whose sum is σ = 353477642649600. Its totient is φ = 13725971251200.

The previous prime is 72615814165337. The next prime is 72615814165469. The reversal of 72615814165440 is 4456141851627.

72615814165440 is a `hidden beast` number, since 7 + 2 + 6 + 1 + 5 + 81 + 4 + 16 + 544 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1190423183010 + ... + 1190423183070.

It is an arithmetic number, because the mean of its divisors is an integer number (65751049600).

Almost surely, 2^{72615814165440} is an apocalyptic number.

72615814165440 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 72615814165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176738821324800).

72615814165440 is an abundant number, since it is smaller than the sum of its proper divisors (280861828484160).

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

72615814165440 is a wasteful number, since it uses less digits than its factorization.

72615814165440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 72615814165440 in words is "seventy-two trillion, six hundred fifteen billion, eight hundred fourteen million, one hundred sixty-five thousand, four hundred forty".