72675897800256 has 315 divisors, whose sum is σ = 217037995657329. Its totient is φ = 24046273930752.

The previous prime is 72675897800251. The next prime is 72675897800267. The reversal of 72675897800256 is 65200879857627.

The square root of 72675897800256 is 8525016.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9698341294656 + 62977556505600 = 3114216^2 + 7935840^2 .

It is a super-2 number, since 2×72675897800256² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (72675897800251) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 102504792030 + ... + 102504792738.

Almost surely, 2^{72675897800256} is an apocalyptic number.

72675897800256 is the 8525016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72675897800256

72675897800256 is an abundant number, since it is smaller than the sum of its proper divisors (144362097857073).

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

72675897800256 is an frugal number, since it uses more digits than its factorization.

72675897800256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 72.

The spelling of 72675897800256 in words is "seventy-two trillion, six hundred seventy-five billion, eight hundred ninety-seven million, eight hundred thousand, two hundred fifty-six".