432071136 has 144 divisors (see below), whose sum is σ = 1418062464. Its totient is φ = 122234112.

The previous prime is 432071093. The next prime is 432071173. The reversal of 432071136 is 631170234.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214711 + ... + 216713.

It is an arithmetic number, because the mean of its divisors is an integer number (9847656).

Almost surely, 2^432071136 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 432071136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709031232).

432071136 is an abundant number, since it is smaller than the sum of its proper divisors (985991328).

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

432071136 is a wasteful number, since it uses less digits than its factorization.

432071136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 432071136 is about 20786.3208865831. The cubic root of 432071136 is about 755.9941210595.

The spelling of 432071136 in words is "four hundred thirty-two million, seventy-one thousand, one hundred thirty-six".