14315472 has 60 divisors (see below), whose sum is σ = 40549860. Its totient is φ = 4713984.

The previous prime is 14315461. The next prime is 14315489. The reversal of 14315472 is 27451341.

It can be written as a sum of positive squares in 2 ways, for example, as 1527696 + 12787776 = 1236^2 + 3576^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12258 + ... + 13374.

It is an arithmetic number, because the mean of its divisors is an integer number (675831).

Almost surely, 2^14315472 is an apocalyptic number.

14315472 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 14315472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20274930).

14315472 is an abundant number, since it is smaller than the sum of its proper divisors (26234388).

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

14315472 is a wasteful number, since it uses less digits than its factorization.

14315472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1211 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 14315472 is about 3783.5792577928. The cubic root of 14315472 is about 242.8111116581.

It can be divided in two parts, 1431 and 5472, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 14315472 in words is "fourteen million, three hundred fifteen thousand, four hundred seventy-two".