72717377660928 has 1536 divisors, whose sum is σ = 306233561088000. Its totient is φ = 16408950865920.

The previous prime is 72717377660909. The next prime is 72717377660929. The reversal of 72717377660928 is 82906677371727.

72717377660928 is a `hidden beast` number, since 7 + 2 + 7 + 1 + 7 + 3 + 7 + 7 + 6 + 609 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is not an unprimeable number, because it can be changed into a prime (72717377660929) 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, 940933393 + ... + 941010671.

It is an arithmetic number, because the mean of its divisors is an integer number (199370808000).

Almost surely, 2^{72717377660928} is an apocalyptic number.

72717377660928 is a gapful number since it is divisible by the number (78) 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 72717377660928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153116780544000).

72717377660928 is an abundant number, since it is smaller than the sum of its proper divisors (233516183427072).

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

72717377660928 is a wasteful number, since it uses less digits than its factorization.

72717377660928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77358 (or 77332 counting only the distinct ones).

The product of its (nonzero) digits is 522764928, while the sum is 72.

The spelling of 72717377660928 in words is "seventy-two trillion, seven hundred seventeen billion, three hundred seventy-seven million, six hundred sixty thousand, nine hundred twenty-eight".