65472 has 56 divisors (see below), whose sum is σ = 195072. Its totient is φ = 19200.

The previous prime is 65449. The next prime is 65479. The reversal of 65472 is 27456.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 2, base 4 and base 16.

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65479) by changing a digit.

65472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2097 + ... + 2127.

2⁶⁵⁴⁷² is an apocalyptic number.

65472 is a gapful number since it is divisible by the number (62) 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 65472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97536).

65472 is an abundant number, since it is smaller than the sum of its proper divisors (129600).

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

65472 is a wasteful number, since it uses less digits than its factorization.

65472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 47 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 65472 is about 255.8749694675. The cubic root of 65472 is about 40.3043451445.

The spelling of 65472 in words is "sixty-five thousand, four hundred seventy-two".