80472 has 32 divisors (see below), whose sum is σ = 230400. Its totient is φ = 22944.

The previous prime is 80471. The next prime is 80473. The reversal of 80472 is 27408.

Added to its reverse (27408) it gives a triangular number (107880 = T₄₆₄).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80471) and next prime (80473).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72 + ... + 407.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2⁸⁰⁴⁷² 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 80472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115200).

80472 is an abundant number, since it is smaller than the sum of its proper divisors (149928).

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

80472 is a wasteful number, since it uses less digits than its factorization.

80472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 80472 is about 283.6758713744. The cubic root of 80472 is about 43.1732687851.

Adding to 80472 its reverse (27408), we get a triangular number (107880 = T₄₆₄).

The spelling of 80472 in words is "eighty thousand, four hundred seventy-two".