72233250 has 128 divisors (see below), whose sum is σ = 196335360. Its totient is φ = 17625600.

The previous prime is 72233237. The next prime is 72233251. The reversal of 72233250 is 5233227.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72233250.

It is not an unprimeable number, because it can be changed into a prime (72233251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 527182 + ... + 527318.

It is an arithmetic number, because the mean of its divisors is an integer number (1533870).

Almost surely, 2^72233250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72233250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98167680).

72233250 is an abundant number, since it is smaller than the sum of its proper divisors (124102110).

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

72233250 is a wasteful number, since it uses less digits than its factorization.

72233250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 72233250 is about 8499.0146487696. The cubic root of 72233250 is about 416.4655206901.

Adding to 72233250 its reverse (5233227), we get a palindrome (77466477).

The spelling of 72233250 in words is "seventy-two million, two hundred thirty-three thousand, two hundred fifty".