63077872 has 80 divisors (see below), whose sum is σ = 151240320. Its totient is φ = 25056000.

The previous prime is 63077863. The next prime is 63077879. The reversal of 63077872 is 27877036.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63077879) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42747 + ... + 44197.

It is an arithmetic number, because the mean of its divisors is an integer number (1890504).

Almost surely, 2^63077872 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 63077872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75620160).

63077872 is an abundant number, since it is smaller than the sum of its proper divisors (88162448).

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

63077872 is a wasteful number, since it uses less digits than its factorization.

63077872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The square root of 63077872 is about 7942.1578931673. The cubic root of 63077872 is about 398.0695988652.

The spelling of 63077872 in words is "sixty-three million, seventy-seven thousand, eight hundred seventy-two".