946272 has 24 divisors (see below), whose sum is σ = 2484216. Its totient is φ = 315392.

The previous prime is 946249. The next prime is 946273. The reversal of 946272 is 272649.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a d-powerful number, because it can be written as 9⁵ + 4⁷ + 2⁷ + 6⁶ + 7⁷ + 2⁹ .

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 (946273) 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, 4833 + ... + 5024.

It is an arithmetic number, because the mean of its divisors is an integer number (103509).

2⁹⁴⁶²⁷² is an apocalyptic number.

It is an amenable number.

946272 is an abundant number, since it is smaller than the sum of its proper divisors (1537944).

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

946272 is a wasteful number, since it uses less digits than its factorization.

946272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9870 (or 9862 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 946272 is about 972.7651309540. The cubic root of 946272 is about 98.1759991563.

The spelling of 946272 in words is "nine hundred forty-six thousand, two hundred seventy-two".