225747072 has 96 divisors (see below), whose sum is σ = 655150080. Its totient is φ = 74608128.

The previous prime is 225747043. The next prime is 225747077. The reversal of 225747072 is 270747522.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225747077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145533 + ... + 147075.

It is an arithmetic number, because the mean of its divisors is an integer number (6824480).

Almost surely, 2^225747072 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 225747072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327575040).

225747072 is an abundant number, since it is smaller than the sum of its proper divisors (429403008).

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

225747072 is a wasteful number, since it uses less digits than its factorization.

225747072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 225747072 is about 15024.8817632619. The cubic root of 225747072 is about 608.8926177886.

It can be divided in two parts, 22574 and 7072, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 225747072 in words is "two hundred twenty-five million, seven hundred forty-seven thousand, seventy-two".