10027152 has 60 divisors (see below), whose sum is σ = 29112720. Its totient is φ = 3341088.

The previous prime is 10027151. The next prime is 10027159. The reversal of 10027152 is 25172001.

It is a super-2 number, since 2×10027152² = 201087554462208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10027151) 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, 2599 + ... + 5177.

It is an arithmetic number, because the mean of its divisors is an integer number (485212).

Almost surely, 2^10027152 is an apocalyptic number.

10027152 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 10027152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14556360).

10027152 is an abundant number, since it is smaller than the sum of its proper divisors (19085568).

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

10027152 is an equidigital number, since it uses as much as digits as its factorization.

10027152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 10027152 is about 3166.5678581076. The cubic root of 10027152 is about 215.6382834917.

Adding to 10027152 its reverse (25172001), we get a palindrome (35199153).

The spelling of 10027152 in words is "ten million, twenty-seven thousand, one hundred fifty-two".