35122672 has 40 divisors (see below), whose sum is σ = 73901520. Its totient is φ = 16074240.

The previous prime is 35122667. The next prime is 35122699. The reversal of 35122672 is 27622153.

It is a self number, because there is not a number n which added to its sum of digits gives 35122672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26604 + ... + 27892.

It is an arithmetic number, because the mean of its divisors is an integer number (1847538).

Almost surely, 2^35122672 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 35122672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36950760).

35122672 is an abundant number, since it is smaller than the sum of its proper divisors (38778848).

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

35122672 is a wasteful number, since it uses less digits than its factorization.

35122672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1435 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 35122672 is about 5926.4383908044. The cubic root of 35122672 is about 327.4883456413.

The spelling of 35122672 in words is "thirty-five million, one hundred twenty-two thousand, six hundred seventy-two".