72253300 has 72 divisors (see below), whose sum is σ = 180363456. Its totient is φ = 24610560.

The previous prime is 72253289. The next prime is 72253301. The reversal of 72253300 is 335227.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72253301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162879 + ... + 163321.

It is an arithmetic number, because the mean of its divisors is an integer number (2505048).

Almost surely, 2^72253300 is an apocalyptic number.

72253300 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 72253300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90181728).

72253300 is an abundant number, since it is smaller than the sum of its proper divisors (108110156).

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

72253300 is a wasteful number, since it uses less digits than its factorization.

72253300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 22.

The square root of 72253300 is about 8500.1941154305. The cubic root of 72253300 is about 416.5040503203.

Adding to 72253300 its reverse (335227), we get a palindrome (72588527).

The spelling of 72253300 in words is "seventy-two million, two hundred fifty-three thousand, three hundred".