32727436380072 has 512 divisors, whose sum is σ = 110233571328000. Its totient is φ = 8799157785600.

The previous prime is 32727436380013. The next prime is 32727436380131. The reversal of 32727436380072 is 27008363472723.

It is a happy number.

32727436380072 is a `hidden beast` number, since 3 + 2 + 7 + 274 + 363 + 8 + 0 + 0 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (32727436380013) and next prime (32727436380131).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 350868913 + ... + 350962175.

It is an arithmetic number, because the mean of its divisors is an integer number (215299944000).

Almost surely, 2^{32727436380072} 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 32727436380072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55116785664000).

32727436380072 is an abundant number, since it is smaller than the sum of its proper divisors (77506134947928).

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

32727436380072 is a wasteful number, since it uses less digits than its factorization.

32727436380072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93518 (or 93508 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 54.

The spelling of 32727436380072 in words is "thirty-two trillion, seven hundred twenty-seven billion, four hundred thirty-six million, three hundred eighty thousand, seventy-two".