10072065 has 8 divisors (see below), whose sum is σ = 16115328. Its totient is φ = 5371760.

The previous prime is 10072063. The next prime is 10072081. The reversal of 10072065 is 56027001.

10072065 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10072065 - 2¹ = 10072063 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10072063) 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, 335721 + ... + 335750.

It is an arithmetic number, because the mean of its divisors is an integer number (2014416).

It is a Proth number, since it is equal to 2459 ⋅ 2¹² + 1 and 2459 < 2¹².

Almost surely, 2^10072065 is an apocalyptic number.

10072065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10072065 is a deficient number, since it is larger than the sum of its proper divisors (6043263).

10072065 is an equidigital number, since it uses as much as digits as its factorization.

10072065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671479.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 10072065 is about 3173.6516822109. The cubic root of 10072065 is about 215.9597618805.

Adding to 10072065 its reverse (56027001), we get a palindrome (66099066).

The spelling of 10072065 in words is "ten million, seventy-two thousand, sixty-five".