72100235874400 has 288 divisors, whose sum is σ = 182698386554880. Its totient is φ = 27764046336000.

The previous prime is 72100235874361. The next prime is 72100235874467. The reversal of 72100235874400 is 447853200127.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4941411105 + ... + 4941425695.

It is an arithmetic number, because the mean of its divisors is an integer number (634369397760).

Almost surely, 2^{72100235874400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72100235874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91349193277440).

72100235874400 is an abundant number, since it is smaller than the sum of its proper divisors (110598150680480).

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

72100235874400 is a wasteful number, since it uses less digits than its factorization.

72100235874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16638 (or 16625 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 43.

The spelling of 72100235874400 in words is "seventy-two trillion, one hundred billion, two hundred thirty-five million, eight hundred seventy-four thousand, four hundred".