15000972 has 48 divisors (see below), whose sum is σ = 40400640. Its totient is φ = 4243392.

The previous prime is 15000971. The next prime is 15000977. The reversal of 15000972 is 27900051.

15000972 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 not an unprimeable number, because it can be changed into a prime (15000971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8154 + ... + 9822.

It is an arithmetic number, because the mean of its divisors is an integer number (841680).

Almost surely, 2^15000972 is an apocalyptic number.

15000972 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 15000972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20200320).

15000972 is an abundant number, since it is smaller than the sum of its proper divisors (25399668).

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

15000972 is a wasteful number, since it uses less digits than its factorization.

15000972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 15000972 is about 3873.1088288350. The cubic root of 15000972 is about 246.6265343361.

The spelling of 15000972 in words is "fifteen million, nine hundred seventy-two", and thus it is an aban number.