35052072 has 64 divisors (see below), whose sum is σ = 98703360. Its totient is φ = 10276800.

The previous prime is 35052071. The next prime is 35052091. The reversal of 35052072 is 27025053.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (35052071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6043 + ... + 10325.

It is an arithmetic number, because the mean of its divisors is an integer number (1542240).

Almost surely, 2^35052072 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 35052072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49351680).

35052072 is an abundant number, since it is smaller than the sum of its proper divisors (63651288).

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

35052072 is a wasteful number, since it uses less digits than its factorization.

35052072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 35052072 is about 5920.4790346728. The cubic root of 35052072 is about 327.2687706031.

The spelling of 35052072 in words is "thirty-five million, fifty-two thousand, seventy-two".