15282072 has 96 divisors (see below), whose sum is σ = 46191600. Its totient is φ = 4531968.

The previous prime is 15282049. The next prime is 15282079. The reversal of 15282072 is 27028251.

It is a super-2 number, since 2×15282072² = 467083449226368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15282079) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 26863 + ... + 27425.

Almost surely, 2^15282072 is an apocalyptic number.

15282072 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 15282072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23095800).

15282072 is an abundant number, since it is smaller than the sum of its proper divisors (30909528).

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

15282072 is a wasteful number, since it uses less digits than its factorization.

15282072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 15282072 is about 3909.2290800105. The cubic root of 15282072 is about 248.1575048729.

It can be divided in two parts, 1528 and 2072, that added together give a square (3600 = 60²).

The spelling of 15282072 in words is "fifteen million, two hundred eighty-two thousand, seventy-two".