63195072 has 84 divisors (see below), whose sum is σ = 171983400. Its totient is φ = 20478464.

The previous prime is 63195017. The next prime is 63195091. The reversal of 63195072 is 27059136.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 424054 + ... + 424202.

Almost surely, 2^63195072 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 63195072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85991700).

63195072 is an abundant number, since it is smaller than the sum of its proper divisors (108788328).

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

63195072 is a wasteful number, since it uses less digits than its factorization.

63195072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 63195072 is about 7949.5328164616. The cubic root of 63195072 is about 398.3159868654.

It can be divided in two parts, 631 and 95072, that added together give a triangular number (95703 = T₄₃₇).

The spelling of 63195072 in words is "sixty-three million, one hundred ninety-five thousand, seventy-two".