45252872 has 48 divisors (see below), whose sum is σ = 100233360. Its totient is φ = 19093536.

The previous prime is 45252841. The next prime is 45252877. The reversal of 45252872 is 27825254.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (45252877) 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, 25403 + ... + 27125.

It is an arithmetic number, because the mean of its divisors is an integer number (2088195).

Almost surely, 2^45252872 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 45252872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50116680).

45252872 is an abundant number, since it is smaller than the sum of its proper divisors (54980488).

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

45252872 is a wasteful number, since it uses less digits than its factorization.

45252872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1799 counting only the distinct ones).

The product of its digits is 44800, while the sum is 35.

The square root of 45252872 is about 6727.0254942285. The cubic root of 45252872 is about 356.3543372651.

The spelling of 45252872 in words is "forty-five million, two hundred fifty-two thousand, eight hundred seventy-two".