35997142272 has 288 divisors, whose sum is σ = 121986574080. Its totient is φ = 9165864960.

The previous prime is 35997142271. The next prime is 35997142319. The reversal of 35997142272 is 27224179953.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35997142271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2017872 + ... + 2035632.

Almost surely, 2^35997142272 is an apocalyptic number.

35997142272 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 35997142272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60993287040).

35997142272 is an abundant number, since it is smaller than the sum of its proper divisors (85989431808).

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

35997142272 is a wasteful number, since it uses less digits than its factorization.

35997142272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17829 (or 17815 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 51.

The spelling of 35997142272 in words is "thirty-five billion, nine hundred ninety-seven million, one hundred forty-two thousand, two hundred seventy-two".