35756672 has 48 divisors (see below), whose sum is σ = 82878570. Its totient is φ = 15321600.

The previous prime is 35756663. The next prime is 35756683. The reversal of 35756672 is 27665753.

It can be written as a sum of positive squares in only one way, i.e., 24840256 + 10916416 = 4984^2 + 3304^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3422 + ... + 9122.

Almost surely, 2^35756672 is an apocalyptic number.

35756672 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 35756672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41439285).

35756672 is an abundant number, since it is smaller than the sum of its proper divisors (47121898).

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

35756672 is an equidigital number, since it uses as much as digits as its factorization.

35756672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5729 (or 5710 counting only the distinct ones).

The product of its digits is 264600, while the sum is 41.

The square root of 35756672 is about 5979.6882861902. The cubic root of 35756672 is about 329.4471060122.

It can be divided in two parts, 357566 and 72, that multiplied together give a palindrome (25744752).

The spelling of 35756672 in words is "thirty-five million, seven hundred fifty-six thousand, six hundred seventy-two".