35216272 has 120 divisors (see below), whose sum is σ = 89952576. Its totient is φ = 13001472.

The previous prime is 35216263. The next prime is 35216273. The reversal of 35216272 is 27261253.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 35216272.

It is not an unprimeable number, because it can be changed into a prime (35216273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525583 + ... + 525649.

Almost surely, 2^35216272 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 35216272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44976288).

35216272 is an abundant number, since it is smaller than the sum of its proper divisors (54736304).

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

35216272 is a wasteful number, since it uses less digits than its factorization.

35216272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 35216272 is about 5934.3299537522. The cubic root of 35216272 is about 327.7790004444.

The spelling of 35216272 in words is "thirty-five million, two hundred sixteen thousand, two hundred seventy-two".