72146497200 has 480 divisors, whose sum is σ = 251083929600. Its totient is φ = 17642127360.

The previous prime is 72146497133. The next prime is 72146497207. The reversal of 72146497200 is 279464127.

It is a Cunningham number, because it is equal to 268601²-1.

It is not an unprimeable number, because it can be changed into a prime (72146497207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143432149 + ... + 143432651.

It is an arithmetic number, because the mean of its divisors is an integer number (523091520).

Almost surely, 2^72146497200 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 72146497200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125541964800).

72146497200 is an abundant number, since it is smaller than the sum of its proper divisors (178937432400).

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

72146497200 is a wasteful number, since it uses less digits than its factorization.

72146497200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 72146497200 in words is "seventy-two billion, one hundred forty-six million, four hundred ninety-seven thousand, two hundred".