72501000000 has 784 divisors, whose sum is σ = 283365122880. Its totient is φ = 16224000000.

The previous prime is 72500999873. The next prime is 72501000017. The reversal of 72501000000 is 10527.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5576999994 + ... + 5577000006.

Almost surely, 2^72501000000 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 72501000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141682561440).

72501000000 is an abundant number, since it is smaller than the sum of its proper divisors (210864122880).

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

72501000000 is an frugal number, since it uses more digits than its factorization.

72501000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

Adding to 72501000000 its reverse (10527), we get a palindrome (72501010527).

The spelling of 72501000000 in words is "seventy-two billion, five hundred one million", and thus it is an aban number.