15087072 has 192 divisors, whose sum is σ = 53512704. Its totient is φ = 3594240.

The previous prime is 15087043. The next prime is 15087073. The reversal of 15087072 is 27078051.

It is a happy number.

15087072 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15087073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96018 + ... + 96174.

It is an arithmetic number, because the mean of its divisors is an integer number (278712).

Almost surely, 2^15087072 is an apocalyptic number.

15087072 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 15087072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26756352).

15087072 is an abundant number, since it is smaller than the sum of its proper divisors (38425632).

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

15087072 is a wasteful number, since it uses less digits than its factorization.

15087072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 15087072 is about 3884.2080273847. The cubic root of 15087072 is about 247.0974826526.

The spelling of 15087072 in words is "fifteen million, eighty-seven thousand, seventy-two".