72553637520 has 1440 divisors, whose sum is σ = 328012339200. Its totient is φ = 14814213120.

The previous prime is 72553637509. The next prime is 72553637591. The reversal of 72553637520 is 2573635527.

72553637520 is a `hidden beast` number, since 7 + 2 + 5 + 5 + 3 + 637 + 5 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2340439905 + ... + 2340439935.

Almost surely, 2^72553637520 is an apocalyptic number.

72553637520 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 72553637520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164006169600).

72553637520 is an abundant number, since it is smaller than the sum of its proper divisors (255458701680).

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

72553637520 is an equidigital number, since it uses as much as digits as its factorization.

72553637520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 45.

The spelling of 72553637520 in words is "seventy-two billion, five hundred fifty-three million, six hundred thirty-seven thousand, five hundred twenty".