72122937600000 has 1152 divisors, whose sum is σ = 276744909692160. Its totient is φ = 16360734720000.

The previous prime is 72122937599959. The next prime is 72122937600031. The reversal of 72122937600000 is 673922127.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18412798042 + ... + 18412801958.

It is an arithmetic number, because the mean of its divisors is an integer number (240229956330).

Almost surely, 2^{72122937600000} is an apocalyptic number.

72122937600000 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 72122937600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138372454846080).

72122937600000 is an abundant number, since it is smaller than the sum of its proper divisors (204621972092160).

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

72122937600000 is an equidigital number, since it uses as much as digits as its factorization.

72122937600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4111 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 72122937600000 in words is "seventy-two trillion, one hundred twenty-two billion, nine hundred thirty-seven million, six hundred thousand".