36432672 has 48 divisors (see below), whose sum is σ = 96399072. Its totient is φ = 12047360.

The previous prime is 36432659. The next prime is 36432673. The reversal of 36432672 is 27623463.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (36432673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11128 + ... + 14024.

It is an arithmetic number, because the mean of its divisors is an integer number (2008314).

Almost surely, 2^36432672 is an apocalyptic number.

36432672 is a gapful number since it is divisible by the number (32) 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 36432672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48199536).

36432672 is an abundant number, since it is smaller than the sum of its proper divisors (59966400).

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

36432672 is a wasteful number, since it uses less digits than its factorization.

36432672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3041 (or 3033 counting only the distinct ones).

The product of its digits is 36288, while the sum is 33.

The square root of 36432672 is about 6035.9483099178. The cubic root of 36432672 is about 331.5102858930.

The spelling of 36432672 in words is "thirty-six million, four hundred thirty-two thousand, six hundred seventy-two".