63072352 has 72 divisors (see below), whose sum is σ = 147138768. Its totient is φ = 26069760.

The previous prime is 63072349. The next prime is 63072367. The reversal of 63072352 is 25327036.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 63072352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215118 + ... + 215410.

It is an arithmetic number, because the mean of its divisors is an integer number (2043594).

Almost surely, 2^63072352 is an apocalyptic number.

63072352 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 63072352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73569384).

63072352 is an abundant number, since it is smaller than the sum of its proper divisors (84066416).

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

63072352 is a wasteful number, since it uses less digits than its factorization.

63072352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 63072352 is about 7941.8103729565. The cubic root of 63072352 is about 398.0579867197.

Adding to 63072352 its reverse (25327036), we get a palindrome (88399388).

The spelling of 63072352 in words is "sixty-three million, seventy-two thousand, three hundred fifty-two".