32072064 has 80 divisors (see below), whose sum is σ = 90515820. Its totient is φ = 10061824.

The previous prime is 32072041. The next prime is 32072071. The reversal of 32072064 is 46027023.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1886584 + ... + 1886600.

Almost surely, 2^32072064 is an apocalyptic number.

32072064 is a gapful number since it is divisible by the number (34) 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 32072064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45257910).

32072064 is an abundant number, since it is smaller than the sum of its proper divisors (58443756).

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

32072064 is an frugal number, since it uses more digits than its factorization.

32072064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 22 counting only the distinct ones).

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

The square root of 32072064 is about 5663.2202853147. The cubic root of 32072064 is about 317.7183535282.

Multiplying 32072064 by its sum of digits (24), we get a square (769729536 = 27744²).

32072064 divided by its sum of digits (24) gives a 4-th power (1336336 = 34⁴).

Adding to 32072064 its reverse (46027023), we get a palindrome (78099087).

The spelling of 32072064 in words is "thirty-two million, seventy-two thousand, sixty-four".