472165120 has 72 divisors (see below), whose sum is σ = 1292576544. Its totient is φ = 161882112.

The previous prime is 472165117. The next prime is 472165129. The reversal of 472165120 is 21561274.

It is a super-3 number, since 3×472165120³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (472165129) 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, 17389 + ... + 35308.

It is an arithmetic number, because the mean of its divisors is an integer number (17952452).

Almost surely, 2^472165120 is an apocalyptic number.

472165120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

472165120 is an abundant number, since it is smaller than the sum of its proper divisors (820411424).

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

472165120 is an equidigital number, since it uses as much as digits as its factorization.

472165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52725 (or 52711 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 472165120 is about 21729.3607821307. The cubic root of 472165120 is about 778.6900651837.

The spelling of 472165120 in words is "four hundred seventy-two million, one hundred sixty-five thousand, one hundred twenty".