10072242 has 32 divisors (see below), whose sum is σ = 23563200. Its totient is φ = 3180384.

The previous prime is 10072207. The next prime is 10072247. The reversal of 10072242 is 24227001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10072247) 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 15 ways as a sum of consecutive naturals, for example, 3883 + ... + 5934.

It is an arithmetic number, because the mean of its divisors is an integer number (736350).

Almost surely, 2^10072242 is an apocalyptic number.

10072242 is an abundant number, since it is smaller than the sum of its proper divisors (13490958).

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

10072242 is a wasteful number, since it uses less digits than its factorization.

10072242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9847 (or 9841 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 10072242 is about 3173.6795679463. The cubic root of 10072242 is about 215.9610269191.

Adding to 10072242 its reverse (24227001), we get a palindrome (34299243).

It can be divided in two parts, 100722 and 42, that multiplied together give a palindrome (4230324).

The spelling of 10072242 in words is "ten million, seventy-two thousand, two hundred forty-two".