10072261 has 6 divisors (see below), whose sum is σ = 10630662. Its totient is φ = 9541800.

The previous prime is 10072247. The next prime is 10072289. The reversal of 10072261 is 16227001.

It can be written as a sum of positive squares in only one way, i.e., 9828225 + 244036 = 3135^2 + 494^2 .

It is not a de Polignac number, because 10072261 - 2¹³ = 10064069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072291) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 13590 + ... + 14311.

It is an arithmetic number, because the mean of its divisors is an integer number (1771777).

Almost surely, 2^10072261 is an apocalyptic number.

It is an amenable number.

10072261 is a deficient number, since it is larger than the sum of its proper divisors (558401).

10072261 is an equidigital number, since it uses as much as digits as its factorization.

10072261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27939 (or 27920 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 10072261 is about 3173.6825613158. The cubic root of 10072261 is about 215.9611627133.

Adding to 10072261 its reverse (16227001), we get a palindrome (26299262).

It can be divided in two parts, 100 and 72261, that added together give a square (72361 = 269²).

The spelling of 10072261 in words is "ten million, seventy-two thousand, two hundred sixty-one".