72286300 has 36 divisors (see below), whose sum is σ = 159217240. Its totient is φ = 28480320.

The previous prime is 72286289. The next prime is 72286301. The reversal of 72286300 is 368227.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72286301) 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, 1306 + ... + 12094.

Almost surely, 2^72286300 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 72286300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79608620).

72286300 is an abundant number, since it is smaller than the sum of its proper divisors (86930940).

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

72286300 is a wasteful number, since it uses less digits than its factorization.

72286300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10870 (or 10863 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 72286300 is about 8502.1350259802. The cubic root of 72286300 is about 416.5674501543.

The spelling of 72286300 in words is "seventy-two million, two hundred eighty-six thousand, three hundred".