95472 has 80 divisors (see below), whose sum is σ = 312480. Its totient is φ = 27648.

The previous prime is 95471. The next prime is 95479. The reversal of 95472 is 27459.

It is a super-2 number, since 2×95472² = 18229805568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2520) is a multiple of the sum of its prime divisors (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5608 + ... + 5624.

It is an arithmetic number, because the mean of its divisors is an integer number (3906).

2⁹⁵⁴⁷² 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 95472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240).

95472 is an abundant number, since it is smaller than the sum of its proper divisors (217008).

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

95472 is a wasteful number, since it uses less digits than its factorization.

95472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 35 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 95472 is about 308.9854365500. The cubic root of 95472 is about 45.7044696186.

The spelling of 95472 in words is "ninety-five thousand, four hundred seventy-two".