13473792 has 144 divisors (see below), whose sum is σ = 42162120. Its totient is φ = 4128768.

The previous prime is 13473787. The next prime is 13473833. The reversal of 13473792 is 29737431.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 313323 + ... + 313365.

Almost surely, 2^13473792 is an apocalyptic number.

13473792 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 13473792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21081060).

13473792 is an abundant number, since it is smaller than the sum of its proper divisors (28688328).

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

13473792 is a wasteful number, since it uses less digits than its factorization.

13473792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 65 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 13473792 is about 3670.6664245066. Note that the first 3 decimals coincide. The cubic root of 13473792 is about 237.9559742495.

The spelling of 13473792 in words is "thirteen million, four hundred seventy-three thousand, seven hundred ninety-two".