83015072 has 24 divisors (see below), whose sum is σ = 186784416. Its totient is φ = 35577792.

The previous prime is 83015059. The next prime is 83015147. The reversal of 83015072 is 27051038.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 185078 + ... + 185525.

It is an arithmetic number, because the mean of its divisors is an integer number (7782684).

Almost surely, 2^83015072 is an apocalyptic number.

It is an amenable number.

83015072 is an abundant number, since it is smaller than the sum of its proper divisors (103769344).

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

83015072 is a wasteful number, since it uses less digits than its factorization.

83015072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370620 (or 370612 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 83015072 is about 9111.2607250589. The cubic root of 83015072 is about 436.2334692138.

The spelling of 83015072 in words is "eighty-three million, fifteen thousand, seventy-two".