72176630500 has 96 divisors (see below), whose sum is σ = 169928504928. Its totient is φ = 26623296000.

The previous prime is 72176630473. The next prime is 72176630509. The reversal of 72176630500 is 503667127.

It can be written as a sum of positive squares in 16 ways, for example, as 66072646116 + 6103984384 = 257046^2 + 78128^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72176630500.

It is not an unprimeable number, because it can be changed into a prime (72176630509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7255530 + ... + 7265470.

It is an arithmetic number, because the mean of its divisors is an integer number (1770088593).

Almost surely, 2^72176630500 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 72176630500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84964252464).

72176630500 is an abundant number, since it is smaller than the sum of its proper divisors (97751874428).

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

72176630500 is a wasteful number, since it uses less digits than its factorization.

72176630500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11090 (or 11078 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The spelling of 72176630500 in words is "seventy-two billion, one hundred seventy-six million, six hundred thirty thousand, five hundred".