64672000 has 144 divisors (see below), whose sum is σ = 168360192. Its totient is φ = 24729600.

The previous prime is 64671979. The next prime is 64672019. The reversal of 64672000 is 27646.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1375977 + ... + 1376023.

It is an arithmetic number, because the mean of its divisors is an integer number (1169168).

Almost surely, 2^64672000 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 64672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84180096).

64672000 is an abundant number, since it is smaller than the sum of its proper divisors (103688192).

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

64672000 is an equidigital number, since it uses as much as digits as its factorization.

64672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 64672000 is about 8041.8903250417. The cubic root of 64672000 is about 401.3951283848.

Adding to 64672000 its reverse (27646), we get a palindrome (64699646).

The spelling of 64672000 in words is "sixty-four million, six hundred seventy-two thousand".