63345772 has 96 divisors (see below), whose sum is σ = 144506880. Its totient is φ = 23664960.

The previous prime is 63345769. The next prime is 63345781. The reversal of 63345772 is 27754336.

63345772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379233 + ... + 379399.

It is an arithmetic number, because the mean of its divisors is an integer number (1505280).

Almost surely, 2^63345772 is an apocalyptic number.

63345772 is a gapful number since it is divisible by the number (62) 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 63345772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72253440).

63345772 is an abundant number, since it is smaller than the sum of its proper divisors (81161108).

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

63345772 is a wasteful number, since it uses less digits than its factorization.

63345772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 249 counting only the distinct ones).

The product of its digits is 105840, while the sum is 37.

The square root of 63345772 is about 7959.0057167965. The cubic root of 63345772 is about 398.6323541918.

The spelling of 63345772 in words is "sixty-three million, three hundred forty-five thousand, seven hundred seventy-two".