13457472 has 224 divisors, whose sum is σ = 46817280. Its totient is φ = 3317760.

The previous prime is 13457449. The next prime is 13457473. The reversal of 13457472 is 27475431.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×13457472² = 362207105261568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13457473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434097 + ... + 434127.

Almost surely, 2^13457472 is an apocalyptic number.

13457472 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 13457472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23408640).

13457472 is an abundant number, since it is smaller than the sum of its proper divisors (33359808).

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

13457472 is a wasteful number, since it uses less digits than its factorization.

13457472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 79 counting only the distinct ones).

The product of its digits is 23520, while the sum is 33.

The square root of 13457472 is about 3668.4427213737. The cubic root of 13457472 is about 237.8598614778.

The spelling of 13457472 in words is "thirteen million, four hundred fifty-seven thousand, four hundred seventy-two".