72801488952640 has 224 divisors, whose sum is σ = 200967671199744. Its totient is φ = 24602445342720.

The previous prime is 72801488952631. The next prime is 72801488952641. The reversal of 72801488952640 is 4625988410827.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72801488952641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 621310699 + ... + 621427861.

Almost surely, 2^{72801488952640} is an apocalyptic number.

72801488952640 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 72801488952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100483835599872).

72801488952640 is an abundant number, since it is smaller than the sum of its proper divisors (128166182247104).

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

72801488952640 is a wasteful number, since it uses less digits than its factorization.

72801488952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121165 (or 121155 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 64.

The spelling of 72801488952640 in words is "seventy-two trillion, eight hundred one billion, four hundred eighty-eight million, nine hundred fifty-two thousand, six hundred forty".