72174335200 has 144 divisors (see below), whose sum is σ = 192401591760. Its totient is φ = 26219520000.

The previous prime is 72174335147. The next prime is 72174335209. The reversal of 72174335200 is 253347127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72174335209) by changing a digit.

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, 10565386 + ... + 10572214.

It is an arithmetic number, because the mean of its divisors is an integer number (1336122165).

Almost surely, 2^72174335200 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 72174335200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96200795880).

72174335200 is an abundant number, since it is smaller than the sum of its proper divisors (120227256560).

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

72174335200 is a wasteful number, since it uses less digits than its factorization.

72174335200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8061 (or 8048 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The spelling of 72174335200 in words is "seventy-two billion, one hundred seventy-four million, three hundred thirty-five thousand, two hundred".