72964601 has 4 divisors (see below), whose sum is σ = 74160804. Its totient is φ = 71768400.

The previous prime is 72964597. The next prime is 72964631. The reversal of 72964601 is 10646927.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 10646927 = 751 ⋅14177.

It can be written as a sum of positive squares in 2 ways, for example, as 13690000 + 59274601 = 3700^2 + 7699^2 .

It is a cyclic number.

It is not a de Polignac number, because 72964601 - 2² = 72964597 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72964631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 598010 + ... + 598131.

It is an arithmetic number, because the mean of its divisors is an integer number (18540201).

Almost surely, 2^72964601 is an apocalyptic number.

It is an amenable number.

72964601 is a deficient number, since it is larger than the sum of its proper divisors (1196203).

72964601 is a wasteful number, since it uses less digits than its factorization.

72964601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196202.

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 72964601 is about 8541.9319243366. The cubic root of 72964601 is about 417.8663541823.

The spelling of 72964601 in words is "seventy-two million, nine hundred sixty-four thousand, six hundred one".