436872672 has 144 divisors (see below), whose sum is σ = 1311212448. Its totient is φ = 137702400.

The previous prime is 436872659. The next prime is 436872673. The reversal of 436872672 is 276278634.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (436872673) by changing a digit.

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, 668698 + ... + 669350.

It is an arithmetic number, because the mean of its divisors is an integer number (9105642).

Almost surely, 2^436872672 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 436872672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655606224).

436872672 is an abundant number, since it is smaller than the sum of its proper divisors (874339776).

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

436872672 is a wasteful number, since it uses less digits than its factorization.

436872672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 782 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 436872672 is about 20901.4992763677. The cubic root of 436872672 is about 758.7842242062.

The spelling of 436872672 in words is "four hundred thirty-six million, eight hundred seventy-two thousand, six hundred seventy-two".