15072000 has 144 divisors (see below), whose sum is σ = 50380512. Its totient is φ = 3993600.

The previous prime is 15071977. The next prime is 15072011. The reversal of 15072000 is 27051.

It is a happy number.

15072000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95922 + ... + 96078.

Almost surely, 2^15072000 is an apocalyptic number.

15072000 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 15072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25190256).

15072000 is an abundant number, since it is smaller than the sum of its proper divisors (35308512).

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

15072000 is an equidigital number, since it uses as much as digits as its factorization.

15072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 15072000 is about 3882.2673787363. The cubic root of 15072000 is about 247.0151716929.

Adding to 15072000 its reverse (27051), we get a palindrome (15099051).

The spelling of 15072000 in words is "fifteen million, seventy-two thousand".