45201372 has 48 divisors (see below), whose sum is σ = 109835040. Its totient is φ = 14450688.

The previous prime is 45201329. The next prime is 45201449. The reversal of 45201372 is 27310254.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66828 + ... + 67500.

It is an arithmetic number, because the mean of its divisors is an integer number (2288230).

Almost surely, 2^45201372 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 45201372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54917520).

45201372 is an abundant number, since it is smaller than the sum of its proper divisors (64633668).

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

45201372 is a wasteful number, since it uses less digits than its factorization.

45201372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 45201372 is about 6723.1965611605. The cubic root of 45201372 is about 356.2191030145.

The spelling of 45201372 in words is "forty-five million, two hundred one thousand, three hundred seventy-two".