72549115309440 has 6144 divisors, whose sum is σ = 362154472243200. Its totient is φ = 13427372851200.

The previous prime is 72549115309427. The next prime is 72549115309459. The reversal of 72549115309440 is 4490351194527.

72549115309440 is a `hidden beast` number, since 7 + 2 + 5 + 4 + 9 + 11 + 530 + 94 + 4 + 0 = 666.

It is a super-2 number, since 2×72549115309440² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 247607901934 + ... + 247607902226.

It is an arithmetic number, because the mean of its divisors is an integer number (58944412800).

Almost surely, 2^{72549115309440} is an apocalyptic number.

72549115309440 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 72549115309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181077236121600).

72549115309440 is an abundant number, since it is smaller than the sum of its proper divisors (289605356933760).

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

72549115309440 is a wasteful number, since it uses less digits than its factorization.

72549115309440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 72549115309440 in words is "seventy-two trillion, five hundred forty-nine billion, one hundred fifteen million, three hundred nine thousand, four hundred forty".