83007672 has 32 divisors (see below), whose sum is σ = 226385280. Its totient is φ = 25153760.

The previous prime is 83007629. The next prime is 83007679. The reversal of 83007672 is 27670038.

It is a super-2 number, since 2×83007672² = 13780547221719168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83007679) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 156948 + ... + 157475.

It is an arithmetic number, because the mean of its divisors is an integer number (7074540).

Almost surely, 2^83007672 is an apocalyptic number.

It is an amenable number.

83007672 is an abundant number, since it is smaller than the sum of its proper divisors (143377608).

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

83007672 is a wasteful number, since it uses less digits than its factorization.

83007672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314443 (or 314439 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 83007672 is about 9110.8546251161. The cubic root of 83007672 is about 436.2205068142.

The spelling of 83007672 in words is "eighty-three million, seven thousand, six hundred seventy-two".