76472 has 24 divisors (see below), whose sum is σ = 159600. Its totient is φ = 34320.

The previous prime is 76471. The next prime is 76481. The reversal of 76472 is 27467.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76471) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 929 + ... + 1007.

It is an arithmetic number, because the mean of its divisors is an integer number (6650).

2⁷⁶⁴⁷² 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 76472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79800).

76472 is an abundant number, since it is smaller than the sum of its proper divisors (83128).

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

76472 is a wasteful number, since it uses less digits than its factorization.

76472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 92 counting only the distinct ones).

The product of its digits is 2352, while the sum is 26.

The square root of 76472 is about 276.5357119795. The cubic root of 76472 is about 42.4457439142.

The spelling of 76472 in words is "seventy-six thousand, four hundred seventy-two".