35054272 has 112 divisors (see below), whose sum is σ = 83941920. Its totient is φ = 14336000.

The previous prime is 35054269. The next prime is 35054309. The reversal of 35054272 is 27245053.

It is a self number, because there is not a number n which added to its sum of digits gives 35054272.

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, 347022 + ... + 347122.

Almost surely, 2^35054272 is an apocalyptic number.

35054272 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 35054272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41970960).

35054272 is an abundant number, since it is smaller than the sum of its proper divisors (48887648).

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

35054272 is a wasteful number, since it uses less digits than its factorization.

35054272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 35054272 is about 5920.6648275342. The cubic root of 35054272 is about 327.2756173333.

It can be divided in two parts, 3505 and 4272, that added together give a palindrome (7777).

The spelling of 35054272 in words is "thirty-five million, fifty-four thousand, two hundred seventy-two".