72269366400 has 2304 divisors, whose sum is σ = 357997086720. Its totient is φ = 13934592000.

The previous prime is 72269366369. The next prime is 72269366413. The reversal of 72269366400 is 466396227.

It is a super-2 number, since 2×72269366400² (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 287 ways as a sum of consecutive naturals, for example, 1017878365 + ... + 1017878435.

It is an arithmetic number, because the mean of its divisors is an integer number (155380680).

Almost surely, 2^72269366400 is an apocalyptic number.

72269366400 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 72269366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178998543360).

72269366400 is an abundant number, since it is smaller than the sum of its proper divisors (285727720320).

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

72269366400 is a wasteful number, since it uses less digits than its factorization.

72269366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 72269366400 in words is "seventy-two billion, two hundred sixty-nine million, three hundred sixty-six thousand, four hundred".