10215072 has 120 divisors (see below), whose sum is σ = 34394976. Its totient is φ = 2913408.

The previous prime is 10215067. The next prime is 10215119. The reversal of 10215072 is 27051201.

10215072 = T₁₈₃ + T₁₈₄ + ... + T₄₀₆.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17863 + ... + 18425.

Almost surely, 2^10215072 is an apocalyptic number.

10215072 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 10215072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17197488).

10215072 is an abundant number, since it is smaller than the sum of its proper divisors (24179904).

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

10215072 is an equidigital number, since it uses as much as digits as its factorization.

10215072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 575 counting only the distinct ones).

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

The square root of 10215072 is about 3196.1026266376. The cubic root of 10215072 is about 216.9770552024.

Adding to 10215072 its reverse (27051201), we get a palindrome (37266273).

The spelling of 10215072 in words is "ten million, two hundred fifteen thousand, seventy-two".