10072146 has 24 divisors (see below), whose sum is σ = 23433840. Its totient is φ = 2877672.

The previous prime is 10072141. The next prime is 10072157. The reversal of 10072146 is 64127001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10072141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16836 + ... + 17423.

It is an arithmetic number, because the mean of its divisors is an integer number (976410).

Almost surely, 2^10072146 is an apocalyptic number.

10072146 is an abundant number, since it is smaller than the sum of its proper divisors (13361694).

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

10072146 is a wasteful number, since it uses less digits than its factorization.

10072146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34278 (or 34271 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 10072146 is about 3173.6644435101. The cubic root of 10072146 is about 215.9603407983.

Adding to 10072146 its reverse (64127001), we get a palindrome (74199147).

The spelling of 10072146 in words is "ten million, seventy-two thousand, one hundred forty-six".