35760672 has 72 divisors (see below), whose sum is σ = 102329136. Its totient is φ = 11846016.

The previous prime is 35760661. The next prime is 35760691. The reversal of 35760672 is 27606753.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65103 + ... + 65649.

It is an arithmetic number, because the mean of its divisors is an integer number (1421238).

Almost surely, 2^35760672 is an apocalyptic number.

35760672 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 35760672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51164568).

35760672 is an abundant number, since it is smaller than the sum of its proper divisors (66568464).

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

35760672 is a wasteful number, since it uses less digits than its factorization.

35760672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 35760672 is about 5980.0227424317. The cubic root of 35760672 is about 329.4593903329.

It can be divided in two parts, 3 and 5760672, that added together give a palindrome (5760675).

The spelling of 35760672 in words is "thirty-five million, seven hundred sixty thousand, six hundred seventy-two".