45147872 has 96 divisors (see below), whose sum is σ = 112783104. Its totient is φ = 17280000.

The previous prime is 45147859. The next prime is 45147889. The reversal of 45147872 is 27874154.

It is a super-2 number, since 2×45147872² = 4076660692256768, which contains 22 as substring.

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, 179747 + ... + 179997.

It is an arithmetic number, because the mean of its divisors is an integer number (1174824).

Almost surely, 2^45147872 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 45147872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56391552).

45147872 is an abundant number, since it is smaller than the sum of its proper divisors (67635232).

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

45147872 is a wasteful number, since it uses less digits than its factorization.

45147872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its digits is 62720, while the sum is 38.

The square root of 45147872 is about 6719.2166210058. The cubic root of 45147872 is about 356.0785081242.

The spelling of 45147872 in words is "forty-five million, one hundred forty-seven thousand, eight hundred seventy-two".