10502772 has 48 divisors (see below), whose sum is σ = 28318080. Its totient is φ = 2967552.

The previous prime is 10502771. The next prime is 10502803. The reversal of 10502772 is 27720501.

It is a super-2 number, since 2×10502772² = 220616439367968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10502771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7504 + ... + 8792.

It is an arithmetic number, because the mean of its divisors is an integer number (589960).

Almost surely, 2^10502772 is an apocalyptic number.

10502772 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 10502772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14159040).

10502772 is an abundant number, since it is smaller than the sum of its proper divisors (17815308).

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

10502772 is a wasteful number, since it uses less digits than its factorization.

10502772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 10502772 is about 3240.7980498636. The cubic root of 10502772 is about 218.9952251831.

The spelling of 10502772 in words is "ten million, five hundred two thousand, seven hundred seventy-two".