32497272900 has 135 divisors (see below), whose sum is σ = 105395939341. Its totient is φ = 8661612960.

The previous prime is 32497272883. The next prime is 32497272911. The reversal of 32497272900 is 927279423.

The square root of 32497272900 is 180270.

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

32497272900 is a `hidden beast` number, since 3 + 2 + 497 + 2 + 72 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11699018244 + 20798254656 = 108162^2 + 144216^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16223299 + ... + 16225301.

Almost surely, 2^32497272900 is an apocalyptic number.

32497272900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32497272900 is the 180270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32497272900

32497272900 is an abundant number, since it is smaller than the sum of its proper divisors (72898666441).

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

32497272900 is an equidigital number, since it uses as much as digits as its factorization.

32497272900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 32497272900 in words is "thirty-two billion, four hundred ninety-seven million, two hundred seventy-two thousand, nine hundred".