465072 has 20 divisors (see below), whose sum is σ = 1201560. Its totient is φ = 155008.

The previous prime is 465071. The next prime is 465077. The reversal of 465072 is 270564.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (465071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4797 + ... + 4892.

It is an arithmetic number, because the mean of its divisors is an integer number (60078).

2⁴⁶⁵⁰⁷² is an apocalyptic number.

It is an amenable number.

465072 is an abundant number, since it is smaller than the sum of its proper divisors (736488).

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

465072 is a wasteful number, since it uses less digits than its factorization.

465072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9700 (or 9694 counting only the distinct ones).

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

The square root of 465072 is about 681.9618757673. The cubic root of 465072 is about 77.4771073557.

The spelling of 465072 in words is "four hundred sixty-five thousand, seventy-two".