72451563520 has 112 divisors (see below), whose sum is σ = 198712945728. Its totient is φ = 24840437760.

The previous prime is 72451563497. The next prime is 72451563551. The reversal of 72451563520 is 2536515427.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

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 7 ways as a sum of consecutive naturals, for example, 160375 + ... + 413065.

Almost surely, 2^72451563520 is an apocalyptic number.

72451563520 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 72451563520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99356472864).

72451563520 is an abundant number, since it is smaller than the sum of its proper divisors (126261382208).

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

72451563520 is an equidigital number, since it uses as much as digits as its factorization.

72451563520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252729 (or 252705 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 40.

The spelling of 72451563520 in words is "seventy-two billion, four hundred fifty-one million, five hundred sixty-three thousand, five hundred twenty".