72345487600 has 240 divisors, whose sum is σ = 184320015264. Its totient is φ = 27256320000.

The previous prime is 72345487549. The next prime is 72345487633. The reversal of 72345487600 is 678454327.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55606950 + ... + 55608250.

Almost surely, 2^72345487600 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 72345487600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92160007632).

72345487600 is an abundant number, since it is smaller than the sum of its proper divisors (111974527664).

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

72345487600 is a wasteful number, since it uses less digits than its factorization.

72345487600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 46.

The spelling of 72345487600 in words is "seventy-two billion, three hundred forty-five million, four hundred eighty-seven thousand, six hundred".