15102072 has 64 divisors (see below), whose sum is σ = 42336000. Its totient is φ = 4987872.

The previous prime is 15102071. The next prime is 15102077. The reversal of 15102072 is 27020151.

15102072 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 super-3 number, since 3×15102072³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15102071) 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, 29773 + ... + 30275.

It is an arithmetic number, because the mean of its divisors is an integer number (661500).

Almost surely, 2^15102072 is an apocalyptic number.

15102072 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 15102072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168000).

15102072 is an abundant number, since it is smaller than the sum of its proper divisors (27233928).

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

15102072 is a wasteful number, since it uses less digits than its factorization.

15102072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 15102072 is about 3886.1384432364. The cubic root of 15102072 is about 247.1793459980.

The spelling of 15102072 in words is "fifteen million, one hundred two thousand, seventy-two".