45335072 has 48 divisors (see below), whose sum is σ = 93405312. Its totient is φ = 21638400.

The previous prime is 45335071. The next prime is 45335089. The reversal of 45335072 is 27053354.

It is not an unprimeable number, because it can be changed into a prime (45335071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64322 + ... + 65022.

It is an arithmetic number, because the mean of its divisors is an integer number (1945944).

Almost surely, 2^45335072 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 45335072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46702656).

45335072 is an abundant number, since it is smaller than the sum of its proper divisors (48070240).

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

45335072 is a wasteful number, since it uses less digits than its factorization.

45335072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 29.

The square root of 45335072 is about 6733.1324062430. The cubic root of 45335072 is about 356.5699744685.

The spelling of 45335072 in words is "forty-five million, three hundred thirty-five thousand, seventy-two".