35138723472072 has 48 divisors (see below), whose sum is σ = 103818955715280. Its totient is φ = 10648098021600.

The previous prime is 35138723472071. The next prime is 35138723472113. The reversal of 35138723472072 is 27027432783153.

35138723472072 is a `hidden beast` number, since 3 + 5 + 1 + 3 + 87 + 23 + 472 + 0 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (35138723472071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22183536754 + ... + 22183538337.

It is an arithmetic number, because the mean of its divisors is an integer number (2162894910735).

Almost surely, 2^{35138723472072} is an apocalyptic number.

It is an amenable number.

35138723472072 is an abundant number, since it is smaller than the sum of its proper divisors (68680232243208).

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

35138723472072 is a wasteful number, since it uses less digits than its factorization.

35138723472072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44367075114 (or 44367075107 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 35138723472072 in words is "thirty-five trillion, one hundred thirty-eight billion, seven hundred twenty-three million, four hundred seventy-two thousand, seventy-two".