72101694400 has 84 divisors (see below), whose sum is σ = 178441438392. Its totient is φ = 28673858560.

The previous prime is 72101694293. The next prime is 72101694407. The reversal of 72101694400 is 449610127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72101694407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146559 + ... + 407041.

It is an arithmetic number, because the mean of its divisors is an integer number (2124302838).

Almost surely, 2^72101694400 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 72101694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89220719196).

72101694400 is an abundant number, since it is smaller than the sum of its proper divisors (106339743992).

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

72101694400 is a wasteful number, since it uses less digits than its factorization.

72101694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260678 (or 260663 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 72101694400 in words is "seventy-two billion, one hundred one million, six hundred ninety-four thousand, four hundred".