64072000 has 56 divisors (see below), whose sum is σ = 158694120. Its totient is φ = 25625600.

The previous prime is 64071979. The next prime is 64072003. The reversal of 64072000 is 27046.

It can be written as a sum of positive squares in 4 ways, for example, as 1218816 + 62853184 = 1104^2 + 7928^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64072003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3996 + ... + 12004.

Almost surely, 2^64072000 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 64072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79347060).

64072000 is an abundant number, since it is smaller than the sum of its proper divisors (94622120).

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

64072000 is an equidigital number, since it uses as much as digits as its factorization.

64072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8036 (or 8016 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 64072000 is about 8004.4987350864. The cubic root of 64072000 is about 400.1499437851.

Adding to 64072000 its reverse (27046), we get a palindrome (64099046).

The spelling of 64072000 in words is "sixty-four million, seventy-two thousand".