35640072 has 144 divisors (see below), whose sum is σ = 109196100. Its totient is φ = 10483200.

The previous prime is 35640037. The next prime is 35640089. The reversal of 35640072 is 27004653.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14791716 + 20848356 = 3846^2 + 4566^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 352822 + ... + 352922.

Almost surely, 2^35640072 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 35640072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54598050).

35640072 is an abundant number, since it is smaller than the sum of its proper divisors (73556028).

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

35640072 is a wasteful number, since it uses less digits than its factorization.

35640072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 35640072 is about 5969.9306528636. The cubic root of 35640072 is about 329.0886147542.

The spelling of 35640072 in words is "thirty-five million, six hundred forty thousand, seventy-two".