34972672 has 132 divisors (see below), whose sum is σ = 88209324. Its totient is φ = 13762560.

The previous prime is 34972669. The next prime is 34972687. The reversal of 34972672 is 27627943.

It can be written as a sum of positive squares in 2 ways, for example, as 12845056 + 22127616 = 3584^2 + 4704^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 852972 + ... + 853012.

Almost surely, 2^34972672 is an apocalyptic number.

34972672 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 34972672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44104662).

34972672 is an abundant number, since it is smaller than the sum of its proper divisors (53236652).

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

34972672 is a wasteful number, since it uses less digits than its factorization.

34972672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 67 counting only the distinct ones).

The product of its digits is 127008, while the sum is 40.

The square root of 34972672 is about 5913.7696945350. The cubic root of 34972672 is about 327.0214738990.

The spelling of 34972672 in words is "thirty-four million, nine hundred seventy-two thousand, six hundred seventy-two".