462132072 has 48 divisors (see below), whose sum is σ = 1285442340. Its totient is φ = 149879808.

The previous prime is 462132071. The next prime is 462132089. The reversal of 462132072 is 270231264.

462132072 is a `hidden beast` number, since 4 + 621 + 32 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 450882756 + 11249316 = 21234^2 + 3354^2 .

It is not an unprimeable number, because it can be changed into a prime (462132071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84073 + ... + 89400.

Almost surely, 2^462132072 is an apocalyptic number.

It is an amenable number.

462132072 is an abundant number, since it is smaller than the sum of its proper divisors (823310268).

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

462132072 is a wasteful number, since it uses less digits than its factorization.

462132072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173522 (or 173515 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 462132072 is about 21497.2573134342. The cubic root of 462132072 is about 773.1350632879.

The spelling of 462132072 in words is "four hundred sixty-two million, one hundred thirty-two thousand, seventy-two".