34887072 has 48 divisors (see below), whose sum is σ = 99906912. Its totient is φ = 10571520.

The previous prime is 34887071. The next prime is 34887079. The reversal of 34887072 is 27078843.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 34887072.

It is not an unprimeable number, because it can be changed into a prime (34887071) 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, 15463 + ... + 17574.

It is an arithmetic number, because the mean of its divisors is an integer number (2081394).

Almost surely, 2^34887072 is an apocalyptic number.

34887072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34887072 is an abundant number, since it is smaller than the sum of its proper divisors (65019840).

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

34887072 is a wasteful number, since it uses less digits than its factorization.

34887072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33061 (or 33053 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 34887072 is about 5906.5279140964. The cubic root of 34887072 is about 326.7544472322.

The spelling of 34887072 in words is "thirty-four million, eight hundred eighty-seven thousand, seventy-two".