72337888465920 has 6336 divisors, whose sum is σ = 362337692221440. Its totient is φ = 13109664153600.

The previous prime is 72337888465877. The next prime is 72337888465949. The reversal of 72337888465920 is 2956488873327.

72337888465920 is a `hidden beast` number, since 7 + 2 + 3 + 3 + 78 + 8 + 8 + 465 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 575 ways as a sum of consecutive naturals, for example, 569589672897 + ... + 569589673023.

Almost surely, 2^{72337888465920} is an apocalyptic number.

72337888465920 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 72337888465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181168846110720).

72337888465920 is an abundant number, since it is smaller than the sum of its proper divisors (289999803755520).

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

72337888465920 is a wasteful number, since it uses less digits than its factorization.

72337888465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 72337888465920 in words is "seventy-two trillion, three hundred thirty-seven billion, eight hundred eighty-eight million, four hundred sixty-five thousand, nine hundred twenty".