14580072 has 96 divisors (see below), whose sum is σ = 43778280. Its totient is φ = 4354560.

The previous prime is 14580061. The next prime is 14580073. The reversal of 14580072 is 27008541.

14580072 is a `hidden beast` number, since 14 + 580 + 0 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8259876 + 6320196 = 2874^2 + 2514^2 .

It is not an unprimeable number, because it can be changed into a prime (14580073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34422 + ... + 34842.

Almost surely, 2^14580072 is an apocalyptic number.

14580072 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 14580072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21889140).

14580072 is an abundant number, since it is smaller than the sum of its proper divisors (29198208).

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

14580072 is a wasteful number, since it uses less digits than its factorization.

14580072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 476 counting only the distinct ones).

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

The square root of 14580072 is about 3818.3860464861. The cubic root of 14580072 is about 244.2979876288.

It can be divided in two parts, 145800 and 72, that multiplied together give a square (10497600 = 3240²).

The spelling of 14580072 in words is "fourteen million, five hundred eighty thousand, seventy-two".