15072480 has 120 divisors (see below), whose sum is σ = 53239032. Its totient is φ = 4015872.

The previous prime is 15072469. The next prime is 15072493. The reversal of 15072480 is 8427051.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12379 + ... + 13541.

Almost surely, 2^15072480 is an apocalyptic number.

15072480 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 15072480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26619516).

15072480 is an abundant number, since it is smaller than the sum of its proper divisors (38166552).

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

15072480 is a wasteful number, since it uses less digits than its factorization.

15072480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 15072480 is about 3882.3291977884. The cubic root of 15072480 is about 247.0177939068.

The spelling of 15072480 in words is "fifteen million, seventy-two thousand, four hundred eighty".