72169826400 has 324 divisors, whose sum is σ = 296039497572. Its totient is φ = 16495879680.

The previous prime is 72169826381. The next prime is 72169826441. The reversal of 72169826400 is 462896127.

It is a happy number.

72169826400 is a `hidden beast` number, since 7 + 2 + 169 + 82 + 6 + 400 = 666.

It is a super-2 number, since 2×72169826400² (a number of 23 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 250519 + ... + 455081.

It is an arithmetic number, because the mean of its divisors is an integer number (913702153).

Almost surely, 2^72169826400 is an apocalyptic number.

72169826400 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 72169826400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148019748786).

72169826400 is an abundant number, since it is smaller than the sum of its proper divisors (223869671172).

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

72169826400 is a wasteful number, since it uses less digits than its factorization.

72169826400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204603 (or 204580 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 72169826400 in words is "seventy-two billion, one hundred sixty-nine million, eight hundred twenty-six thousand, four hundred".