32017972 has 72 divisors (see below), whose sum is σ = 69521760. Its totient is φ = 12841920.

The previous prime is 32017969. The next prime is 32018011. The reversal of 32017972 is 27971023.

It is a super-4 number, since 4×32017972⁴ (a number of 31 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244347 + ... + 244477.

It is an arithmetic number, because the mean of its divisors is an integer number (965580).

Almost surely, 2^32017972 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 32017972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34760880).

32017972 is an abundant number, since it is smaller than the sum of its proper divisors (37503788).

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

32017972 is a wasteful number, since it uses less digits than its factorization.

32017972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 32017972 is about 5658.4425419014. The cubic root of 32017972 is about 317.5396342114.

Adding to 32017972 its reverse (27971023), we get a palindrome (59988995).

The spelling of 32017972 in words is "thirty-two million, seventeen thousand, nine hundred seventy-two".