10072272 has 80 divisors (see below), whose sum is σ = 30728192. Its totient is φ = 2782080.

The previous prime is 10072247. The next prime is 10072289. The reversal of 10072272 is 27227001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9933 + ... + 10899.

Almost surely, 2^10072272 is an apocalyptic number.

10072272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10072272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15364096).

10072272 is an abundant number, since it is smaller than the sum of its proper divisors (20655920).

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

10072272 is a wasteful number, since it uses less digits than its factorization.

10072272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 10072272 is about 3173.6842943179. The cubic root of 10072272 is about 215.9612413309.

Adding to 10072272 its reverse (27227001), we get a palindrome (37299273).

The spelling of 10072272 in words is "ten million, seventy-two thousand, two hundred seventy-two".