552657672 has 144 divisors (see below), whose sum is σ = 1782134640. Its totient is φ = 154187712.

The previous prime is 552657671. The next prime is 552657673. The reversal of 552657672 is 276756255.

552657672 is a `hidden beast` number, since 5 + 5 + 2 + 6 + 576 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (552657671) and next prime (552657673).

It is not an unprimeable number, because it can be changed into a prime (552657671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 149883 + ... + 153525.

It is an arithmetic number, because the mean of its divisors is an integer number (12375935).

Almost surely, 2^552657672 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 552657672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891067320).

552657672 is an abundant number, since it is smaller than the sum of its proper divisors (1229476968).

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

552657672 is a wasteful number, since it uses less digits than its factorization.

552657672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3698 counting only the distinct ones).

The product of its digits is 882000, while the sum is 45.

The square root of 552657672 is about 23508.6722721637. The cubic root of 552657672 is about 820.6388398637.

The spelling of 552657672 in words is "five hundred fifty-two million, six hundred fifty-seven thousand, six hundred seventy-two".