472599072 has 144 divisors (see below), whose sum is σ = 1474593120. Its totient is φ = 142387200.

The previous prime is 472599041. The next prime is 472599121. The reversal of 472599072 is 270995274.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×472599072² = 446699765710522368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 763179 + ... + 763797.

It is an arithmetic number, because the mean of its divisors is an integer number (10240230).

Almost surely, 2^472599072 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 472599072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737296560).

472599072 is an abundant number, since it is smaller than the sum of its proper divisors (1001994048).

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

472599072 is a wasteful number, since it uses less digits than its factorization.

472599072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 472599072 is about 21739.3438723435. The cubic root of 472599072 is about 778.9285485925.

The spelling of 472599072 in words is "four hundred seventy-two million, five hundred ninety-nine thousand, seventy-two".