45206772 has 48 divisors (see below), whose sum is σ = 114250752. Its totient is φ = 13829760.

The previous prime is 45206771. The next prime is 45206779. The reversal of 45206772 is 27760254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45206771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29997 + ... + 31467.

It is an arithmetic number, because the mean of its divisors is an integer number (2380224).

Almost surely, 2^45206772 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 45206772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57125376).

45206772 is an abundant number, since it is smaller than the sum of its proper divisors (69043980).

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

45206772 is a wasteful number, since it uses less digits than its factorization.

45206772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 45206772 is about 6723.5981438513. The cubic root of 45206772 is about 356.2332877356.

The spelling of 45206772 in words is "forty-five million, two hundred six thousand, seven hundred seventy-two".