72682444800 has 1728 divisors, whose sum is σ = 329955444000. Its totient is φ = 15606743040.

The previous prime is 72682444777. The next prime is 72682444811. The reversal of 72682444800 is 844428627.

72682444800 is a `hidden beast` number, since 72 + 68 + 2 + 44 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1964390382 + ... + 1964390418.

Almost surely, 2^72682444800 is an apocalyptic number.

72682444800 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 72682444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164977722000).

72682444800 is an abundant number, since it is smaller than the sum of its proper divisors (257272999200).

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

72682444800 is a wasteful number, since it uses less digits than its factorization.

72682444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 72682444800 in words is "seventy-two billion, six hundred eighty-two million, four hundred forty-four thousand, eight hundred".