63758072 has 64 divisors (see below), whose sum is σ = 148531200. Its totient is φ = 25038720.

The previous prime is 63758029. The next prime is 63758083. The reversal of 63758072 is 27085736.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32018 + ... + 33950.

It is an arithmetic number, because the mean of its divisors is an integer number (2320800).

Almost surely, 2^63758072 is an apocalyptic number.

63758072 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 63758072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74265600).

63758072 is an abundant number, since it is smaller than the sum of its proper divisors (84773128).

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

63758072 is a wasteful number, since it uses less digits than its factorization.

63758072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 63758072 is about 7984.8651835833. The cubic root of 63758072 is about 399.4953469142.

The spelling of 63758072 in words is "sixty-three million, seven hundred fifty-eight thousand, seventy-two".