556632072 has 96 divisors (see below), whose sum is σ = 1553905080. Its totient is φ = 179896320.

The previous prime is 556632067. The next prime is 556632101. The reversal of 556632072 is 270236655.

It is a happy number.

556632072 is a `hidden beast` number, since 5 + 566 + 3 + 20 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 406667556 + 149964516 = 20166^2 + 12246^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 569248 + ... + 570224.

Almost surely, 2^556632072 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 556632072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776952540).

556632072 is an abundant number, since it is smaller than the sum of its proper divisors (997273008).

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

556632072 is a wasteful number, since it uses less digits than its factorization.

556632072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 556632072 is about 23593.0513499208. The cubic root of 556632072 is about 822.6013324154.

The spelling of 556632072 in words is "five hundred fifty-six million, six hundred thirty-two thousand, seventy-two".