35252672 has 56 divisors (see below), whose sum is σ = 86112096. Its totient is φ = 13943808.

The previous prime is 35252663. The next prime is 35252681. The reversal of 35252672 is 27625253.

It is an interprime number because it is at equal distance from previous prime (35252663) and next prime (35252681).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2798 + ... + 8850.

It is an arithmetic number, because the mean of its divisors is an integer number (1537716).

Almost surely, 2^35252672 is an apocalyptic number.

35252672 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 35252672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43056048).

35252672 is an abundant number, since it is smaller than the sum of its proper divisors (50859424).

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

35252672 is a wasteful number, since it uses less digits than its factorization.

35252672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6085 (or 6075 counting only the distinct ones).

The product of its digits is 25200, while the sum is 32.

The square root of 35252672 is about 5937.3960622482. The cubic root of 35252672 is about 327.8918937801.

The spelling of 35252672 in words is "thirty-five million, two hundred fifty-two thousand, six hundred seventy-two".