15272120 has 64 divisors (see below), whose sum is σ = 37428480. Its totient is φ = 5584896.

The previous prime is 15272113. The next prime is 15272129. The reversal of 15272120 is 2127251.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 15272092 and 15272101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15272129) 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, 24857 + ... + 25463.

It is an arithmetic number, because the mean of its divisors is an integer number (584820).

Almost surely, 2^15272120 is an apocalyptic number.

15272120 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 15272120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18714240).

15272120 is an abundant number, since it is smaller than the sum of its proper divisors (22156360).

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

15272120 is a wasteful number, since it uses less digits than its factorization.

15272120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 15272120 is about 3907.9559874697. The cubic root of 15272120 is about 248.1036247493.

Adding to 15272120 its reverse (2127251), we get a palindrome (17399371).

It can be divided in two parts, 1527 and 2120, that multiplied together give a triangular number (3237240 = T₂₅₄₄).

The spelling of 15272120 in words is "fifteen million, two hundred seventy-two thousand, one hundred twenty".