72056006100 has 162 divisors, whose sum is σ = 244565991306. Its totient is φ = 17736825600.

The previous prime is 72056006041. The next prime is 72056006147. The reversal of 72056006100 is 160065027.

It can be written as a sum of positive squares in 9 ways, for example, as 54786892356 + 17269113744 = 234066^2 + 131412^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 84771 + ... + 388970.

It is an arithmetic number, because the mean of its divisors is an integer number (1509666613).

Almost surely, 2^72056006100 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 72056006100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122282995653).

72056006100 is an abundant number, since it is smaller than the sum of its proper divisors (172509985206).

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

72056006100 is a wasteful number, since it uses less digits than its factorization.

72056006100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473787 (or 473764 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 72056006100 in words is "seventy-two billion, fifty-six million, six thousand, one hundred".