66225952 has 48 divisors (see below), whose sum is σ = 141116472. Its totient is φ = 30412800.

The previous prime is 66225919. The next prime is 66225959. The reversal of 66225952 is 25952266.

It can be written as a sum of positive squares in 4 ways, for example, as 64577296 + 1648656 = 8036^2 + 1284^2 .

It is not an unprimeable number, because it can be changed into a prime (66225959) 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, 164952 + ... + 165352.

Almost surely, 2^66225952 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 66225952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70558236).

66225952 is an abundant number, since it is smaller than the sum of its proper divisors (74890520).

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

66225952 is a wasteful number, since it uses less digits than its factorization.

66225952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 813 counting only the distinct ones).

The product of its digits is 64800, while the sum is 37.

The square root of 66225952 is about 8137.9329070717. The cubic root of 66225952 is about 404.5846516626.

The spelling of 66225952 in words is "sixty-six million, two hundred twenty-five thousand, nine hundred fifty-two".