462072 has 32 divisors (see below), whose sum is σ = 1244880. Its totient is φ = 142080.

The previous prime is 462067. The next prime is 462073. The reversal of 462072 is 270264.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462073) by changing a digit.

462072 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, 429 + ... + 1052.

2⁴⁶²⁰⁷² is an apocalyptic number.

It is an amenable number.

462072 is an abundant number, since it is smaller than the sum of its proper divisors (782808).

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

462072 is a wasteful number, since it uses less digits than its factorization.

462072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 462072 is about 679.7587807451. The cubic root of 462072 is about 77.3101562200.

The spelling of 462072 in words is "four hundred sixty-two thousand, seventy-two".