15120072 has 96 divisors (see below), whose sum is σ = 47342880. Its totient is φ = 4308480.

The previous prime is 15120071. The next prime is 15120101. The reversal of 15120072 is 27002151.

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

It is not an unprimeable number, because it can be changed into a prime (15120071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12903 + ... + 14025.

It is an arithmetic number, because the mean of its divisors is an integer number (493155).

Almost surely, 2^15120072 is an apocalyptic number.

15120072 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 15120072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23671440).

15120072 is an abundant number, since it is smaller than the sum of its proper divisors (32222808).

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

15120072 is a wasteful number, since it uses less digits than its factorization.

15120072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1156 counting only the distinct ones).

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

The square root of 15120072 is about 3888.4536772347. The cubic root of 15120072 is about 247.2775104913.

The spelling of 15120072 in words is "fifteen million, one hundred twenty thousand, seventy-two".