72974374200 has 960 divisors, whose sum is σ = 317604672000. Its totient is φ = 15117788160.

The previous prime is 72974374189. The next prime is 72974374219. The reversal of 72974374200 is 247347927.

72974374200 is a `hidden beast` number, since 7 + 2 + 9 + 7 + 437 + 4 + 200 = 666.

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

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 86977381 + ... + 86978219.

It is an arithmetic number, because the mean of its divisors is an integer number (330838200).

Almost surely, 2^72974374200 is an apocalyptic number.

72974374200 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 72974374200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158802336000).

72974374200 is an abundant number, since it is smaller than the sum of its proper divisors (244630297800).

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

72974374200 is a wasteful number, since it uses less digits than its factorization.

72974374200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 72974374200 in words is "seventy-two billion, nine hundred seventy-four million, three hundred seventy-four thousand, two hundred".