10287072 has 72 divisors (see below), whose sum is σ = 30545424. Its totient is φ = 3277824.

The previous prime is 10287047. The next prime is 10287077. The reversal of 10287072 is 27078201.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10287077) 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, 5848 + ... + 7400.

It is an arithmetic number, because the mean of its divisors is an integer number (424242).

Almost surely, 2^10287072 is an apocalyptic number.

10287072 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 10287072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15272712).

10287072 is an abundant number, since it is smaller than the sum of its proper divisors (20258352).

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

10287072 is a wasteful number, since it uses less digits than its factorization.

10287072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 10287072 is about 3207.3465668680. The cubic root of 10287072 is about 217.4856431269.

It can be divided in two parts, 1028 and 7072, that added together give a square (8100 = 90²).

The spelling of 10287072 in words is "ten million, two hundred eighty-seven thousand, seventy-two".