35564672 has 128 divisors (see below), whose sum is σ = 87393600. Its totient is φ = 14192640.

The previous prime is 35564597. The next prime is 35564677. The reversal of 35564672 is 27646553.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (35564677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530783 + ... + 530849.

Almost surely, 2^35564672 is an apocalyptic number.

35564672 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 35564672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43696800).

35564672 is an abundant number, since it is smaller than the sum of its proper divisors (51828928).

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

35564672 is a wasteful number, since it uses less digits than its factorization.

35564672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 122 counting only the distinct ones).

The product of its digits is 151200, while the sum is 38.

The square root of 35564672 is about 5963.6123281112. The cubic root of 35564672 is about 328.8563780325.

It can be divided in two parts, 3556 and 4672, that added together give a palindrome (8228).

The spelling of 35564672 in words is "thirty-five million, five hundred sixty-four thousand, six hundred seventy-two".