10632072 has 128 divisors (see below), whose sum is σ = 32348160. Its totient is φ = 2872320.

The previous prime is 10632071. The next prime is 10632103. The reversal of 10632072 is 27023601.

It is a happy number.

It is a super-2 number, since 2×10632072² = 226081910026368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10632071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103173 + ... + 103275.

It is an arithmetic number, because the mean of its divisors is an integer number (252720).

Almost surely, 2^10632072 is an apocalyptic number.

10632072 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 10632072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174080).

10632072 is an abundant number, since it is smaller than the sum of its proper divisors (21716088).

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

10632072 is a wasteful number, since it uses less digits than its factorization.

10632072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 10632072 is about 3260.6858174317. The cubic root of 10632072 is about 219.8902482874.

Adding to 10632072 its reverse (27023601), we get a palindrome (37655673).

The spelling of 10632072 in words is "ten million, six hundred thirty-two thousand, seventy-two".