45390072 has 96 divisors (see below), whose sum is σ = 142203600. Its totient is φ = 11966976.

The previous prime is 45390047. The next prime is 45390073. The reversal of 45390072 is 27009354.

45390072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45390073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13804 + ... + 16772.

Almost surely, 2^45390072 is an apocalyptic number.

45390072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45390072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71101800).

45390072 is an abundant number, since it is smaller than the sum of its proper divisors (96813528).

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

45390072 is a wasteful number, since it uses less digits than its factorization.

45390072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 45390072 is about 6737.2154485366. The cubic root of 45390072 is about 356.7141117579.

It can be divided in two parts, 453 and 90072, that added together give a triangular number (90525 = T₄₂₅).

The spelling of 45390072 in words is "forty-five million, three hundred ninety thousand, seventy-two".