10257072 has 100 divisors (see below), whose sum is σ = 31259160. Its totient is φ = 2897664.

The previous prime is 10257061. The next prime is 10257077. The reversal of 10257072 is 27075201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10257077) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 115204 + ... + 115292.

Almost surely, 2^10257072 is an apocalyptic number.

10257072 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 10257072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15629580).

10257072 is an abundant number, since it is smaller than the sum of its proper divisors (21002088).

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

10257072 is an frugal number, since it uses more digits than its factorization.

10257072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

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

The square root of 10257072 is about 3202.6663891202. Note that the first 3 decimals coincide. The cubic root of 10257072 is about 217.2740208083.

The spelling of 10257072 in words is "ten million, two hundred fifty-seven thousand, seventy-two".