73872078658560 has 2816 divisors, whose sum is σ = 343873990656000. Its totient is φ = 14594152071168.

The previous prime is 73872078658531. The next prime is 73872078658619. The reversal of 73872078658560 is 6585687027837.

73872078658560 is a `hidden beast` number, since 7 + 3 + 8 + 7 + 2 + 0 + 7 + 8 + 6 + 58 + 560 = 666.

It is a super-2 number, since 2×73872078658560² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 47690172666 + ... + 47690174214.

Almost surely, 2^{73872078658560} is an apocalyptic number.

73872078658560 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 73872078658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171936995328000).

73872078658560 is an abundant number, since it is smaller than the sum of its proper divisors (270001911997440).

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

73872078658560 is a wasteful number, since it uses less digits than its factorization.

73872078658560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 948326400, while the sum is 72.

The spelling of 73872078658560 in words is "seventy-three trillion, eight hundred seventy-two billion, seventy-eight million, six hundred fifty-eight thousand, five hundred sixty".