35998272 has 42 divisors (see below), whose sum is σ = 103184198. Its totient is φ = 11999232.

The previous prime is 35998253. The next prime is 35998279. The reversal of 35998272 is 27289953.

It can be written as a sum of positive squares in only one way, i.e., 28901376 + 7096896 = 5376^2 + 2664^2 .

It is a super-3 number, since 3×35998272³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (35998279) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30673 + ... + 31824.

Almost surely, 2^35998272 is an apocalyptic number.

35998272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

35998272 is an abundant number, since it is smaller than the sum of its proper divisors (67185926).

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

35998272 is a wasteful number, since it uses less digits than its factorization.

35998272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62515 (or 62502 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 35998272 is about 5999.8559982720. The cubic root of 35998272 is about 330.1874417213.

The spelling of 35998272 in words is "thirty-five million, nine hundred ninety-eight thousand, two hundred seventy-two".