72097700 has 36 divisors (see below), whose sum is σ = 157281600. Its totient is φ = 28686240.

The previous prime is 72097699. The next prime is 72097703. The reversal of 72097700 is 779027.

It is not an unprimeable number, because it can be changed into a prime (72097703) 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, 18089 + ... + 21711.

Almost surely, 2^72097700 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 72097700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78640800).

72097700 is an abundant number, since it is smaller than the sum of its proper divisors (85183900).

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

72097700 is a wasteful number, since it uses less digits than its factorization.

72097700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3836 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 32.

The square root of 72097700 is about 8491.0364502810. The cubic root of 72097700 is about 416.2048501080.

The spelling of 72097700 in words is "seventy-two million, ninety-seven thousand, seven hundred".