10567152 has 80 divisors (see below), whose sum is σ = 30905760. Its totient is φ = 3456000.

The previous prime is 10567147. The next prime is 10567153. The reversal of 10567152 is 25176501.

10567152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10567152² = 223329402782208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10567153) 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, 26152 + ... + 26552.

It is an arithmetic number, because the mean of its divisors is an integer number (386322).

Almost surely, 2^10567152 is an apocalyptic number.

10567152 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 10567152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15452880).

10567152 is an abundant number, since it is smaller than the sum of its proper divisors (20338608).

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

10567152 is a wasteful number, since it uses less digits than its factorization.

10567152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 10567152 is about 3250.7156135227. The cubic root of 10567152 is about 219.4417803851.

The spelling of 10567152 in words is "ten million, five hundred sixty-seven thousand, one hundred fifty-two".