72230400 has 480 divisors, whose sum is σ = 304444800. Its totient is φ = 16588800.

The previous prime is 72230393. The next prime is 72230413. The reversal of 72230400 is 403227.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3801591 + ... + 3801609.

It is an arithmetic number, because the mean of its divisors is an integer number (634260).

Almost surely, 2^72230400 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 72230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152222400).

72230400 is an abundant number, since it is smaller than the sum of its proper divisors (232214400).

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

72230400 is a wasteful number, since it uses less digits than its factorization.

72230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 72230400 is about 8498.8469806204. The cubic root of 72230400 is about 416.4600433310.

Adding to 72230400 its reverse (403227), we get a palindrome (72633627).

The spelling of 72230400 in words is "seventy-two million, two hundred thirty thousand, four hundred".