64772000 has 48 divisors (see below), whose sum is σ = 159154632. Its totient is φ = 25907200.

The previous prime is 64771997. The next prime is 64772003. The reversal of 64772000 is 27746.

It is an interprime number because it is at equal distance from previous prime (64771997) and next prime (64772003).

It can be written as a sum of positive squares in 4 ways, for example, as 39891856 + 24880144 = 6316^2 + 4988^2 .

It is not an unprimeable number, because it can be changed into a prime (64772003) 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, 4097 + ... + 12096.

Almost surely, 2^64772000 is an apocalyptic number.

It is an amenable number.

64772000 is an abundant number, since it is smaller than the sum of its proper divisors (94382632).

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

64772000 is a wasteful number, since it uses less digits than its factorization.

64772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16218 (or 16200 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 64772000 is about 8048.1053671035. The cubic root of 64772000 is about 401.6019094844.

Adding to 64772000 its reverse (27746), we get a palindrome (64799746).

The spelling of 64772000 in words is "sixty-four million, seven hundred seventy-two thousand".