72501881760 has 1440 divisors, whose sum is σ = 331118238528. Its totient is φ = 14770667520.

The previous prime is 72501881759. The next prime is 72501881783. The reversal of 72501881760 is 6718810527.

It is a happy number.

72501881760 is a `hidden beast` number, since 7 + 2 + 501 + 8 + 81 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 677587627 + ... + 677587733.

Almost surely, 2^72501881760 is an apocalyptic number.

72501881760 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 72501881760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165559119264).

72501881760 is an abundant number, since it is smaller than the sum of its proper divisors (258616356768).

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

72501881760 is a wasteful number, since it uses less digits than its factorization.

72501881760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 72501881760 in words is "seventy-two billion, five hundred one million, eight hundred eighty-one thousand, seven hundred sixty".