35661072 has 40 divisors (see below), whose sum is σ = 93031744. Its totient is φ = 11769984.

The previous prime is 35661001. The next prime is 35661079. The reversal of 35661072 is 27016653.

It is not an unprimeable number, because it can be changed into a prime (35661079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1338 + ... + 8550.

Almost surely, 2^35661072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35661072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46515872).

35661072 is an abundant number, since it is smaller than the sum of its proper divisors (57370672).

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

35661072 is a wasteful number, since it uses less digits than its factorization.

35661072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7327 (or 7321 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 35661072 is about 5971.6892082559. The cubic root of 35661072 is about 329.1532377437.

The spelling of 35661072 in words is "thirty-five million, six hundred sixty-one thousand, seventy-two".