45206272 has 72 divisors (see below), whose sum is σ = 95291280. Its totient is φ = 21381120.

The previous prime is 45206269. The next prime is 45206299. The reversal of 45206272 is 27260254.

It is a self number, because there is not a number n which added to its sum of digits gives 45206272.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 619228 + ... + 619300.

It is an arithmetic number, because the mean of its divisors is an integer number (1323490).

Almost surely, 2^45206272 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 45206272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47645640).

45206272 is an abundant number, since it is smaller than the sum of its proper divisors (50085008).

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

45206272 is an equidigital number, since it uses as much as digits as its factorization.

45206272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 45206272 is about 6723.5609612764. The cubic root of 45206272 is about 356.2319743829.

The spelling of 45206272 in words is "forty-five million, two hundred six thousand, two hundred seventy-two".