32726131872 has 96 divisors (see below), whose sum is σ = 98236260864. Its totient is φ = 9344812800.

The previous prime is 32726131799. The next prime is 32726131897. The reversal of 32726131872 is 27813162723.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1203547 + ... + 1230437.

It is an arithmetic number, because the mean of its divisors is an integer number (1023294384).

Almost surely, 2^32726131872 is an apocalyptic number.

32726131872 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 32726131872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49118130432).

32726131872 is an abundant number, since it is smaller than the sum of its proper divisors (65510128992).

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

32726131872 is a wasteful number, since it uses less digits than its factorization.

32726131872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28722 (or 28714 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The spelling of 32726131872 in words is "thirty-two billion, seven hundred twenty-six million, one hundred thirty-one thousand, eight hundred seventy-two".