82073000 has 32 divisors (see below), whose sum is σ = 192053160. Its totient is φ = 32828800.

The previous prime is 82072997. The next prime is 82073003. The reversal of 82073000 is 37028.

It is an interprime number because it is at equal distance from previous prime (82072997) and next prime (82073003).

It can be written as a sum of positive squares in 4 ways, for example, as 3467044 + 78605956 = 1862^2 + 8866^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (82073003) 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, 40037 + ... + 42036.

Almost surely, 2^82073000 is an apocalyptic number.

It is an amenable number.

82073000 is an abundant number, since it is smaller than the sum of its proper divisors (109980160).

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

82073000 is a wasteful number, since it uses less digits than its factorization.

82073000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82094 (or 82080 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 82073000 is about 9059.4149921504. The cubic root of 82073000 is about 434.5770319436.

The spelling of 82073000 in words is "eighty-two million, seventy-three thousand".