35220672 has 84 divisors (see below), whose sum is σ = 103180896. Its totient is φ = 11481600.

The previous prime is 35220671. The next prime is 35220683. The reversal of 35220672 is 27602253.

It is a super-2 number, since 2×35220672² = 2480991472263168, which contains 22 as substring.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (35220671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26422 + ... + 27722.

It is an arithmetic number, because the mean of its divisors is an integer number (1228344).

Almost surely, 2^35220672 is an apocalyptic number.

35220672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35220672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51590448).

35220672 is an abundant number, since it is smaller than the sum of its proper divisors (67960224).

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

35220672 is a wasteful number, since it uses less digits than its factorization.

35220672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1353 counting only the distinct ones).

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

The square root of 35220672 is about 5934.7006664195. The cubic root of 35220672 is about 327.7926510237.

The spelling of 35220672 in words is "thirty-five million, two hundred twenty thousand, six hundred seventy-two".