15073920 has 96 divisors (see below), whose sum is σ = 52072020. Its totient is φ = 4018176.

The previous prime is 15073913. The next prime is 15073957. The reversal of 15073920 is 2937051.

It can be written as a sum of positive squares in 2 ways, for example, as 14197824 + 876096 = 3768^2 + 936^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4452 + ... + 7068.

Almost surely, 2^15073920 is an apocalyptic number.

15073920 is a gapful number since it is divisible by the number (10) 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 15073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26036010).

15073920 is an abundant number, since it is smaller than the sum of its proper divisors (36998100).

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

15073920 is a wasteful number, since it uses less digits than its factorization.

15073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 15073920 is about 3882.5146490387. The cubic root of 15073920 is about 247.0256602145.

The spelling of 15073920 in words is "fifteen million, seventy-three thousand, nine hundred twenty".