35005572 has 72 divisors (see below), whose sum is σ = 104412672. Its totient is φ = 9676800.

The previous prime is 35005571. The next prime is 35005583. The reversal of 35005572 is 27550053.

It is not an unprimeable number, because it can be changed into a prime (35005571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5572 + ... + 10052.

It is an arithmetic number, because the mean of its divisors is an integer number (1450176).

Almost surely, 2^35005572 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 35005572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52206336).

35005572 is an abundant number, since it is smaller than the sum of its proper divisors (69407100).

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

35005572 is a wasteful number, since it uses less digits than its factorization.

35005572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4529 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 35005572 is about 5916.5506843092. The cubic root of 35005572 is about 327.1239885563.

The spelling of 35005572 in words is "thirty-five million, five thousand, five hundred seventy-two".