56487072 has 48 divisors (see below), whose sum is σ = 150806880. Its totient is φ = 18508032.

The previous prime is 56487071. The next prime is 56487113. The reversal of 56487072 is 27078465.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56487072.

It is not an unprimeable number, because it can be changed into a prime (56487071) 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, 678 + ... + 10650.

It is an arithmetic number, because the mean of its divisors is an integer number (3141810).

Almost surely, 2^56487072 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 56487072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75403440).

56487072 is an abundant number, since it is smaller than the sum of its proper divisors (94319808).

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

56487072 is a wasteful number, since it uses less digits than its factorization.

56487072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10045 (or 10037 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 56487072 is about 7515.7881822201. The cubic root of 56487072 is about 383.6922447361.

It can be divided in two parts, 5648 and 7072, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 56487072 in words is "fifty-six million, four hundred eighty-seven thousand, seventy-two".