32872228249 has 27 divisors (see below), whose sum is σ = 38987036757. Its totient is φ = 27635538168.

The previous prime is 32872228171. The next prime is 32872228273. The reversal of 32872228249 is 94282227823.

The square root of 32872228249 is 181307.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 32872228249 - 2⁷ = 32872228121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32872228349) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 74879572 + ... + 74880010.

Almost surely, 2^32872228249 is an apocalyptic number.

32872228249 is the 181307-th square number.

32872228249 is the 90654-th centered octagonal number.

It is an amenable number.

32872228249 is a deficient number, since it is larger than the sum of its proper divisors (6114808508).

32872228249 is an frugal number, since it uses more digits than its factorization.

32872228249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 505 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 49.

Multiplying 32872228249 by its sum of digits (49), we get a square (1610739184201 = 1269149²).

32872228249 divided by its sum of digits (49) gives a square (670861801 = 25901²).

It can be divided in two parts, 32872 and 228249, that added together give a square (261121 = 511²).

The spelling of 32872228249 in words is "thirty-two billion, eight hundred seventy-two million, two hundred twenty-eight thousand, two hundred forty-nine".