10887072 has 96 divisors (see below), whose sum is σ = 34618752. Its totient is φ = 2924544.

The previous prime is 10887067. The next prime is 10887077. The reversal of 10887072 is 27078801.

10887072 = T₁₉₃ + T₁₉₄ + ... + T₄₁₆.

It is an interprime number because it is at equal distance from previous prime (10887067) and next prime (10887077).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (10887077) 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, 10948 + ... + 11900.

It is an arithmetic number, because the mean of its divisors is an integer number (360612).

Almost surely, 2^10887072 is an apocalyptic number.

10887072 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 10887072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17309376).

10887072 is an abundant number, since it is smaller than the sum of its proper divisors (23731680).

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

10887072 is a wasteful number, since it uses less digits than its factorization.

10887072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The square root of 10887072 is about 3299.5563338122. The cubic root of 10887072 is about 221.6343302432.

The spelling of 10887072 in words is "ten million, eight hundred eighty-seven thousand, seventy-two".