65728001 has 8 divisors (see below), whose sum is σ = 69711840. Its totient is φ = 61757248.

The previous prime is 65727983. The next prime is 65728031. The reversal of 65728001 is 10082756.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 65728001 - 2¹⁴ = 65711617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65728031) 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, 8270 + ... + 14136.

It is an arithmetic number, because the mean of its divisors is an integer number (8713980).

Almost surely, 2^65728001 is an apocalyptic number.

It is an amenable number.

65728001 is a deficient number, since it is larger than the sum of its proper divisors (3983839).

65728001 is a wasteful number, since it uses less digits than its factorization.

65728001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6543.

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 65728001 is about 8107.2807401742. The cubic root of 65728001 is about 403.5680794683.

The spelling of 65728001 in words is "sixty-five million, seven hundred twenty-eight thousand, one".