10273152 has 64 divisors (see below), whose sum is σ = 28200960. Its totient is φ = 3310080.

The previous prime is 10273127. The next prime is 10273171. The reversal of 10273152 is 25137201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11473 + ... + 12335.

It is an arithmetic number, because the mean of its divisors is an integer number (440640).

Almost surely, 2^10273152 is an apocalyptic number.

10273152 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 10273152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14100480).

10273152 is an abundant number, since it is smaller than the sum of its proper divisors (17927808).

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

10273152 is an equidigital number, since it uses as much as digits as its factorization.

10273152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 10273152 is about 3205.1758142105. The cubic root of 10273152 is about 217.3875016054.

The spelling of 10273152 in words is "ten million, two hundred seventy-three thousand, one hundred fifty-two".