56541732 has 48 divisors (see below), whose sum is σ = 145400640. Its totient is φ = 16990848.

The previous prime is 56541721. The next prime is 56541743. The reversal of 56541732 is 23714565.

It is an interprime number because it is at equal distance from previous prime (56541721) and next prime (56541743).

It is a junction number, because it is equal to n+sod(n) for n = 56541693 and 56541702.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2494 + ... + 10922.

It is an arithmetic number, because the mean of its divisors is an integer number (3029180).

Almost surely, 2^56541732 is an apocalyptic number.

56541732 is a gapful number since it is divisible by the number (52) 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 56541732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72700320).

56541732 is an abundant number, since it is smaller than the sum of its proper divisors (88858908).

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

56541732 is a wasteful number, since it uses less digits than its factorization.

56541732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8492 (or 8490 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 56541732 is about 7519.4236481262. The cubic root of 56541732 is about 383.8159654167.

The spelling of 56541732 in words is "fifty-six million, five hundred forty-one thousand, seven hundred thirty-two".