72233700 has 288 divisors, whose sum is σ = 269982720. Its totient is φ = 14476800.

The previous prime is 72233683. The next prime is 72233701. The reversal of 72233700 is 733227.

It is not an unprimeable number, because it can be changed into a prime (72233701) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1224271 + ... + 1224329.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^72233700 is an apocalyptic number.

72233700 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72233700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

72233700 is an abundant number, since it is smaller than the sum of its proper divisors (197749020).

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

72233700 is a wasteful number, since it uses less digits than its factorization.

72233700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 24.

The square root of 72233700 is about 8499.0411223855. The cubic root of 72233700 is about 416.4663855231.

Adding to 72233700 its reverse (733227), we get a palindrome (72966927).

The spelling of 72233700 in words is "seventy-two million, two hundred thirty-three thousand, seven hundred".