72995554235520 has 1920 divisors, whose sum is σ = 313958679091200. Its totient is φ = 16098216099840.

The previous prime is 72995554235497. The next prime is 72995554235531. The reversal of 72995554235520 is 2553245559927.

72995554235520 is a `hidden beast` number, since 7 + 2 + 9 + 9 + 5 + 5 + 54 + 23 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 30631788249 + ... + 30631790631.

It is an arithmetic number, because the mean of its divisors is an integer number (163520145360).

Almost surely, 2^{72995554235520} is an apocalyptic number.

72995554235520 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 72995554235520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156979339545600).

72995554235520 is an abundant number, since it is smaller than the sum of its proper divisors (240963124855680).

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

72995554235520 is a wasteful number, since it uses less digits than its factorization.

72995554235520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 170100000, while the sum is 63.

The spelling of 72995554235520 in words is "seventy-two trillion, nine hundred ninety-five billion, five hundred fifty-four million, two hundred thirty-five thousand, five hundred twenty".