72256544640 has 1024 divisors, whose sum is σ = 304335360000. Its totient is φ = 16191995904.

The previous prime is 72256544629. The next prime is 72256544651. The reversal of 72256544640 is 4644565227.

72256544640 is a `hidden beast` number, since 7 + 2 + 2 + 565 + 4 + 46 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (72256544629) and next prime (72256544651).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 432673837 + ... + 432674003.

It is an arithmetic number, because the mean of its divisors is an integer number (297202500).

Almost surely, 2^72256544640 is an apocalyptic number.

72256544640 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 72256544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152167680000).

72256544640 is an abundant number, since it is smaller than the sum of its proper divisors (232078815360).

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

72256544640 is a wasteful number, since it uses less digits than its factorization.

72256544640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 72256544640 in words is "seventy-two billion, two hundred fifty-six million, five hundred forty-four thousand, six hundred forty".