72194451600 has 480 divisors, whose sum is σ = 247853493504. Its totient is φ = 17923276800.

The previous prime is 72194451569. The next prime is 72194451617. The reversal of 72194451600 is 615449127.

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, 230653044 + ... + 230653356.

Almost surely, 2^72194451600 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 72194451600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123926746752).

72194451600 is an abundant number, since it is smaller than the sum of its proper divisors (175659041904).

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

72194451600 is a wasteful number, since it uses less digits than its factorization.

72194451600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 72194451600 in words is "seventy-two billion, one hundred ninety-four million, four hundred fifty-one thousand, six hundred".