72589251133440 has 2880 divisors, whose sum is σ = 292389765857280. Its totient is φ = 17199267840000.

The previous prime is 72589251133417. The next prime is 72589251133447. The reversal of 72589251133440 is 4433115298527.

72589251133440 is a `hidden beast` number, since 7 + 2 + 5 + 8 + 92 + 511 + 3 + 34 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×72589251133440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72589251133447) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 480723517365 + ... + 480723517515.

It is an arithmetic number, because the mean of its divisors is an integer number (101524224256).

Almost surely, 2^{72589251133440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72589251133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146194882928640).

72589251133440 is an abundant number, since it is smaller than the sum of its proper divisors (219800514723840).

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

72589251133440 is a wasteful number, since it uses less digits than its factorization.

72589251133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 72589251133440 in words is "seventy-two trillion, five hundred eighty-nine billion, two hundred fifty-one million, one hundred thirty-three thousand, four hundred forty".