472719 has 32 divisors (see below), whose sum is σ = 774144. Its totient is φ = 253440.

The previous prime is 472711. The next prime is 472721. The reversal of 472719 is 917274.

472719 = 78² + 79² + ... + 123².

It is not a de Polignac number, because 472719 - 2³ = 472711 is a prime.

It is a super-2 number, since 2×472719² = 446926505922, which contains 22 as substring.

472719 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15234 + ... + 15264.

It is an arithmetic number, because the mean of its divisors is an integer number (24192).

2⁴⁷²⁷¹⁹ is an apocalyptic number.

472719 is a deficient number, since it is larger than the sum of its proper divisors (301425).

472719 is a wasteful number, since it uses less digits than its factorization.

472719 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87.

The product of its digits is 3528, while the sum is 30.

The square root of 472719 is about 687.5456348491. The cubic root of 472719 is about 77.8994430681.

The spelling of 472719 in words is "four hundred seventy-two thousand, seven hundred nineteen".