45017072 has 40 divisors (see below), whose sum is σ = 91735200. Its totient is φ = 21359360.

The previous prime is 45017047. The next prime is 45017143. The reversal of 45017072 is 27071054.

It is a congruent number.

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, 54422 + ... + 55242.

It is an arithmetic number, because the mean of its divisors is an integer number (2293380).

Almost surely, 2^45017072 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 45017072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45867600).

45017072 is an abundant number, since it is smaller than the sum of its proper divisors (46718128).

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

45017072 is a wasteful number, since it uses less digits than its factorization.

45017072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 45017072 is about 6709.4762835858. The cubic root of 45017072 is about 355.7343049713.

The spelling of 45017072 in words is "forty-five million, seventeen thousand, seventy-two".