82070712 has 128 divisors (see below), whose sum is σ = 237945600. Its totient is φ = 26193024.

The previous prime is 82070707. The next prime is 82070717. The reversal of 82070712 is 21707028.

It is an interprime number because it is at equal distance from previous prime (82070707) and next prime (82070717).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82070717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 766963 + ... + 767069.

It is an arithmetic number, because the mean of its divisors is an integer number (1858950).

Almost surely, 2^82070712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82070712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118972800).

82070712 is an abundant number, since it is smaller than the sum of its proper divisors (155874888).

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

82070712 is a wasteful number, since it uses less digits than its factorization.

82070712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 82070712 is about 9059.2887138009. The cubic root of 82070712 is about 434.5729935815.

The spelling of 82070712 in words is "eighty-two million, seventy thousand, seven hundred twelve".