35472160 has 48 divisors (see below), whose sum is σ = 84978936. Its totient is φ = 13989888.

The previous prime is 35472139. The next prime is 35472163. The reversal of 35472160 is 6127453.

It can be written as a sum of positive squares in 4 ways, for example, as 33500944 + 1971216 = 5788^2 + 1404^2 .

It is not an unprimeable number, because it can be changed into a prime (35472163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10162 + ... + 13198.

Almost surely, 2^35472160 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 35472160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42489468).

35472160 is an abundant number, since it is smaller than the sum of its proper divisors (49506776).

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

35472160 is a wasteful number, since it uses less digits than its factorization.

35472160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3117 counting only the distinct ones).

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

The square root of 35472160 is about 5955.8509047826. The cubic root of 35472160 is about 328.5709864068.

The spelling of 35472160 in words is "thirty-five million, four hundred seventy-two thousand, one hundred sixty".