72358997760 has 540 divisors, whose sum is σ = 301206501288. Its totient is φ = 16538038272.

The previous prime is 72358997759. The next prime is 72358997771. The reversal of 72358997760 is 6779985327.

72358997760 is a `hidden beast` number, since 72 + 358 + 99 + 77 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

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 59 ways as a sum of consecutive naturals, for example, 5073199 + ... + 5087441.

Almost surely, 2^72358997760 is an apocalyptic number.

72358997760 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 72358997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150603250644).

72358997760 is an abundant number, since it is smaller than the sum of its proper divisors (228847503528).

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

72358997760 is a wasteful number, since it uses less digits than its factorization.

72358997760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14290 (or 14260 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 72358997760 in words is "seventy-two billion, three hundred fifty-eight million, nine hundred ninety-seven thousand, seven hundred sixty".