472075632 has 120 divisors (see below), whose sum is σ = 1516376160. Its totient is φ = 134300160.

The previous prime is 472075627. The next prime is 472075633. The reversal of 472075632 is 236570274.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472075633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270282 + ... + 272022.

It is an arithmetic number, because the mean of its divisors is an integer number (12636468).

Almost surely, 2^472075632 is an apocalyptic number.

472075632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472075632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758188080).

472075632 is an abundant number, since it is smaller than the sum of its proper divisors (1044300528).

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

472075632 is a wasteful number, since it uses less digits than its factorization.

472075632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 472075632 is about 21727.3015351654. The cubic root of 472075632 is about 778.6408678328.

The spelling of 472075632 in words is "four hundred seventy-two million, seventy-five thousand, six hundred thirty-two".