15072148 has 48 divisors (see below), whose sum is σ = 33191424. Its totient is φ = 5829120.

The previous prime is 15072131. The next prime is 15072191. The reversal of 15072148 is 84127051.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 16668 + ... + 17548.

It is an arithmetic number, because the mean of its divisors is an integer number (691488).

Almost surely, 2^15072148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15072148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16595712).

15072148 is an abundant number, since it is smaller than the sum of its proper divisors (18119276).

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

15072148 is a wasteful number, since it uses less digits than its factorization.

15072148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 15072148 is about 3882.2864397156. The cubic root of 15072148 is about 247.0159802148.

Adding to 15072148 its reverse (84127051), we get a palindrome (99199199).

It can be divided in two parts, 1507 and 2148, that added together give a triangular number (3655 = T₈₅).

The spelling of 15072148 in words is "fifteen million, seventy-two thousand, one hundred forty-eight".