32400672 has 96 divisors (see below), whose sum is σ = 89413632. Its totient is φ = 10262784.

The previous prime is 32400671. The next prime is 32400677. The reversal of 32400672 is 27600423.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (32400671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193933 + ... + 194099.

It is an arithmetic number, because the mean of its divisors is an integer number (931392).

Almost surely, 2^32400672 is an apocalyptic number.

32400672 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 32400672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44706816).

32400672 is an abundant number, since it is smaller than the sum of its proper divisors (57012960).

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

32400672 is a wasteful number, since it uses less digits than its factorization.

32400672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 32400672 is about 5692.1588171800. The cubic root of 32400672 is about 318.7997747721.

The spelling of 32400672 in words is "thirty-two million, four hundred thousand, six hundred seventy-two".