72495542900 has 288 divisors, whose sum is σ = 190067834880. Its totient is φ = 23692032000.

The previous prime is 72495542897. The next prime is 72495542941. The reversal of 72495542900 is 924559427.

It is a happy number.

It is a congruent number.

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, 45795509 + ... + 45797091.

It is an arithmetic number, because the mean of its divisors is an integer number (659957760).

Almost surely, 2^72495542900 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 72495542900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95033917440).

72495542900 is an abundant number, since it is smaller than the sum of its proper divisors (117572291980).

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

72495542900 is a wasteful number, since it uses less digits than its factorization.

72495542900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 47.

The spelling of 72495542900 in words is "seventy-two billion, four hundred ninety-five million, five hundred forty-two thousand, nine hundred".