63355072 has 56 divisors (see below), whose sum is σ = 141622272. Its totient is φ = 27859200.

The previous prime is 63355067. The next prime is 63355079. The reversal of 63355072 is 27055336.

It is a super-4 number, since 4×63355072⁴ (a number of 32 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (63355079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20373 + ... + 23275.

Almost surely, 2^63355072 is an apocalyptic number.

63355072 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 63355072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70811136).

63355072 is an abundant number, since it is smaller than the sum of its proper divisors (78267200).

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

63355072 is a wasteful number, since it uses less digits than its factorization.

63355072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 31.

The square root of 63355072 is about 7959.5899391866. The cubic root of 63355072 is about 398.6518614105.

The spelling of 63355072 in words is "sixty-three million, three hundred fifty-five thousand, seventy-two".