64507752 has 72 divisors (see below), whose sum is σ = 181566450. Its totient is φ = 21485088.

The previous prime is 64507699. The next prime is 64507757. The reversal of 64507752 is 25770546.

64507752 is a `hidden beast` number, since 645 + 0 + 7 + 7 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35928036 + 28579716 = 5994^2 + 5346^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×64507752² = 8322500136187008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (64507757) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51874 + ... + 53102.

Almost surely, 2^64507752 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 64507752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90783225).

64507752 is an abundant number, since it is smaller than the sum of its proper divisors (117058698).

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

64507752 is an equidigital number, since it uses as much as digits as its factorization.

64507752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 64507752 is about 8031.6718060439. The cubic root of 64507752 is about 401.0550314915.

The spelling of 64507752 in words is "sixty-four million, five hundred seven thousand, seven hundred fifty-two".