72469572195200 has 192 divisors, whose sum is σ = 179787399120000. Its totient is φ = 28864039680000.

The previous prime is 72469572195173. The next prime is 72469572195239. The reversal of 72469572195200 is 259127596427.

It is a self number, because there is not a number n which added to its sum of digits gives 72469572195200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3324433901 + ... + 3324455699.

It is an arithmetic number, because the mean of its divisors is an integer number (936392703750).

Almost surely, 2^{72469572195200} 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 72469572195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89893699560000).

72469572195200 is an abundant number, since it is smaller than the sum of its proper divisors (107317826924800).

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

72469572195200 is a wasteful number, since it uses less digits than its factorization.

72469572195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26213 (or 26196 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 59.

The spelling of 72469572195200 in words is "seventy-two trillion, four hundred sixty-nine billion, five hundred seventy-two million, one hundred ninety-five thousand, two hundred".