32139072 has 112 divisors (see below), whose sum is σ = 108021120. Its totient is φ = 9179136.

The previous prime is 32139071. The next prime is 32139083. The reversal of 32139072 is 27093123.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32139071) 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, 10768 + ... + 13424.

Almost surely, 2^32139072 is an apocalyptic number.

32139072 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 32139072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54010560).

32139072 is an abundant number, since it is smaller than the sum of its proper divisors (75882048).

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

32139072 is a wasteful number, since it uses less digits than its factorization.

32139072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 32139072 is about 5669.1332670877. The cubic root of 32139072 is about 317.9394687207.

It can be divided in two parts, 321 and 39072, that added together give a palindrome (39393).

The spelling of 32139072 in words is "thirty-two million, one hundred thirty-nine thousand, seventy-two".