63787872 has 48 divisors (see below), whose sum is σ = 167962032. Its totient is φ = 21196800.

The previous prime is 63787847. The next prime is 63787897. The reversal of 63787872 is 27878736.

63787872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (63787847) and next prime (63787897).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×63787872² = 8137785228576768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 11.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 37668 + ... + 39324.

It is an arithmetic number, because the mean of its divisors is an integer number (3499209).

Almost surely, 2^63787872 is an apocalyptic number.

It is an amenable number.

63787872 is an abundant number, since it is smaller than the sum of its proper divisors (104174160).

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

63787872 is a wasteful number, since it uses less digits than its factorization.

63787872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2063 counting only the distinct ones).

The product of its digits is 790272, while the sum is 48.

The square root of 63787872 is about 7986.7309958455. The cubic root of 63787872 is about 399.5575775029.

The spelling of 63787872 in words is "sixty-three million, seven hundred eighty-seven thousand, eight hundred seventy-two".