72355600 has 60 divisors (see below), whose sum is σ = 177166116. Its totient is φ = 28387840.

The previous prime is 72355597. The next prime is 72355637. The reversal of 72355600 is 655327.

It can be written as a sum of positive squares in 6 ways, for example, as 4260096 + 68095504 = 2064^2 + 8252^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19494 + ... + 22906.

Almost surely, 2^72355600 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 72355600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88583058).

72355600 is an abundant number, since it is smaller than the sum of its proper divisors (104810516).

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

72355600 is a wasteful number, since it uses less digits than its factorization.

72355600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3484 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 72355600 is about 8506.2094965972. The cubic root of 72355600 is about 416.7005270260.

The spelling of 72355600 in words is "seventy-two million, three hundred fifty-five thousand, six hundred".