64727712 has 144 divisors (see below), whose sum is σ = 213175872. Its totient is φ = 18247680.

The previous prime is 64727711. The next prime is 64727723. The reversal of 64727712 is 21772746.

It is a happy number.

64727712 is a `hidden beast` number, since 647 + 2 + 7 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (64727711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195387 + ... + 195717.

It is an arithmetic number, because the mean of its divisors is an integer number (1480388).

Almost surely, 2^64727712 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 64727712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106587936).

64727712 is an abundant number, since it is smaller than the sum of its proper divisors (148448160).

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

64727712 is a wasteful number, since it uses less digits than its factorization.

64727712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 440 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 64727712 is about 8045.3534415835. The cubic root of 64727712 is about 401.5103565465.

The spelling of 64727712 in words is "sixty-four million, seven hundred twenty-seven thousand, seven hundred twelve".