72924829286400 has 2880 divisors, whose sum is σ = 334691276713200. Its totient is φ = 15369775349760.

The previous prime is 72924829286383. The next prime is 72924829286411. The reversal of 72924829286400 is 468292842927.

72924829286400 is a `hidden beast` number, since 7 + 2 + 9 + 2 + 482 + 92 + 8 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 179 ways as a sum of consecutive naturals, for example, 78498201136 + ... + 78498202064.

Almost surely, 2^{72924829286400} is an apocalyptic number.

72924829286400 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 72924829286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167345638356600).

72924829286400 is an abundant number, since it is smaller than the sum of its proper divisors (261766447426800).

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

72924829286400 is an equidigital number, since it uses as much as digits as its factorization.

72924829286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 72924829286400 in words is "seventy-two trillion, nine hundred twenty-four billion, eight hundred twenty-nine million, two hundred eighty-six thousand, four hundred".