46272 has 28 divisors (see below), whose sum is σ = 122936. Its totient is φ = 15360.

The previous prime is 46271. The next prime is 46273. The reversal of 46272 is 27264.

Added to its reverse (27264) it gives a triangular number (73536 = T₃₈₃).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (46271) and next prime (46273).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46271) 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, 72 + ... + 312.

2⁴⁶²⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61468).

46272 is an abundant number, since it is smaller than the sum of its proper divisors (76664).

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

46272 is a wasteful number, since it uses less digits than its factorization.

46272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 246 counting only the distinct ones).

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

The square root of 46272 is about 215.1092745560. The cubic root of 46272 is about 35.9009623607.

Adding to 46272 its reverse (27264), we get a triangular number (73536 = T₃₈₃).

The spelling of 46272 in words is "forty-six thousand, two hundred seventy-two".