72149320630800 has 960 divisors, whose sum is σ = 299417217024000. Its totient is φ = 16159652720640.

The previous prime is 72149320630789. The next prime is 72149320630817. The reversal of 72149320630800 is 803602394127.

72149320630800 is a `hidden beast` number, since 7 + 2 + 1 + 4 + 9 + 3 + 2 + 0 + 630 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1396079361 + ... + 1396131039.

It is an arithmetic number, because the mean of its divisors is an integer number (311892934400).

Almost surely, 2^{72149320630800} is an apocalyptic number.

72149320630800 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 72149320630800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149708608512000).

72149320630800 is an abundant number, since it is smaller than the sum of its proper divisors (227267896393200).

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

72149320630800 is a wasteful number, since it uses less digits than its factorization.

72149320630800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52085 (or 52068 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 72149320630800 in words is "seventy-two trillion, one hundred forty-nine billion, three hundred twenty million, six hundred thirty thousand, eight hundred".