45037520 has 80 divisors (see below), whose sum is σ = 116242560. Its totient is φ = 16089600.

The previous prime is 45037511. The next prime is 45037523. The reversal of 45037520 is 2573054.

It is a Cunningham number, because it is equal to 6711²-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 45037520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45037523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53261 + ... + 54099.

It is an arithmetic number, because the mean of its divisors is an integer number (1453032).

Almost surely, 2^45037520 is an apocalyptic number.

45037520 is a gapful number since it is divisible by the number (40) 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 45037520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58121280).

45037520 is an abundant number, since it is smaller than the sum of its proper divisors (71205040).

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

45037520 is a wasteful number, since it uses less digits than its factorization.

45037520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 26.

The square root of 45037520 is about 6710.9999254955. Note that the first 4 decimals coincide. The cubic root of 45037520 is about 355.7881582738.

The spelling of 45037520 in words is "forty-five million, thirty-seven thousand, five hundred twenty".