72262300 has 72 divisors (see below), whose sum is σ = 172488960. Its totient is φ = 26059200.

The previous prime is 72262283. The next prime is 72262321. The reversal of 72262300 is 326227.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196717 + ... + 197083.

It is an arithmetic number, because the mean of its divisors is an integer number (2395680).

Almost surely, 2^72262300 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 72262300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86244480).

72262300 is an abundant number, since it is smaller than the sum of its proper divisors (100226660).

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

72262300 is a wasteful number, since it uses less digits than its factorization.

72262300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 72262300 is about 8500.7234986206. The cubic root of 72262300 is about 416.5213430982.

Adding to 72262300 its reverse (326227), we get a palindrome (72588527).

The spelling of 72262300 in words is "seventy-two million, two hundred sixty-two thousand, three hundred".