72064200 has 96 divisors (see below), whose sum is σ = 240609600. Its totient is φ = 17736960.

The previous prime is 72064177. The next prime is 72064211. The reversal of 72064200 is 246027.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3181 + ... + 12419.

It is an arithmetic number, because the mean of its divisors is an integer number (2506350).

Almost surely, 2^72064200 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 72064200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120304800).

72064200 is an abundant number, since it is smaller than the sum of its proper divisors (168545400).

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

72064200 is a wasteful number, since it uses less digits than its factorization.

72064200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9271 (or 9262 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 72064200 is about 8489.0635525952. The cubic root of 72064200 is about 416.1403773045.

The spelling of 72064200 in words is "seventy-two million, sixty-four thousand, two hundred".