15120672 has 48 divisors (see below), whose sum is σ = 45364032. Its totient is φ = 4320000.

The previous prime is 15120661. The next prime is 15120673. The reversal of 15120672 is 27602151.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (15120673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10579 + ... + 11922.

It is an arithmetic number, because the mean of its divisors is an integer number (945084).

Almost surely, 2^15120672 is an apocalyptic number.

15120672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

15120672 is an abundant number, since it is smaller than the sum of its proper divisors (30243360).

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

15120672 is a wasteful number, since it uses less digits than its factorization.

15120672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22521 (or 22513 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 15120672 is about 3888.5308279606. The cubic root of 15120672 is about 247.2807812990.

The spelling of 15120672 in words is "fifteen million, one hundred twenty thousand, six hundred seventy-two".