45487872 has 72 divisors (see below), whose sum is σ = 134536080. Its totient is φ = 15160320.

The previous prime is 45487861. The next prime is 45487909. The reversal of 45487872 is 27878454.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 3622 + ... + 10202.

Almost surely, 2^45487872 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 45487872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67268040).

45487872 is an abundant number, since it is smaller than the sum of its proper divisors (89048208).

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

45487872 is an equidigital number, since it uses as much as digits as its factorization.

45487872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6606 (or 6586 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 45487872 is about 6744.4697345307. The cubic root of 45487872 is about 356.9701267285.

The spelling of 45487872 in words is "forty-five million, four hundred eighty-seven thousand, eight hundred seventy-two".