72645920256 has 640 divisors, whose sum is σ = 253423779840. Its totient is φ = 17968693248.

The previous prime is 72645920183. The next prime is 72645920267. The reversal of 72645920256 is 65202954627.

It is a happy number.

It is a super-2 number, since 2×72645920256² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189675841 + ... + 189676223.

It is an arithmetic number, because the mean of its divisors is an integer number (395974656).

Almost surely, 2^72645920256 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 72645920256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126711889920).

72645920256 is an abundant number, since it is smaller than the sum of its proper divisors (180777859584).

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

72645920256 is a wasteful number, since it uses less digits than its factorization.

72645920256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 72645920256 in words is "seventy-two billion, six hundred forty-five million, nine hundred twenty thousand, two hundred fifty-six".