82720035 has 40 divisors (see below), whose sum is σ = 153418320. Its totient is φ = 42590016.

The previous prime is 82720019. The next prime is 82720037. The reversal of 82720035 is 53002728.

It is not a de Polignac number, because 82720035 - 2⁴ = 82720019 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 82719990 and 82720008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82720037) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8224 + ... + 15266.

It is an arithmetic number, because the mean of its divisors is an integer number (3835458).

Almost surely, 2^82720035 is an apocalyptic number.

82720035 is a deficient number, since it is larger than the sum of its proper divisors (70698285).

82720035 is a wasteful number, since it uses less digits than its factorization.

82720035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7089 (or 7080 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 82720035 is about 9095.0555248443. The cubic root of 82720035 is about 435.7160620089.

The spelling of 82720035 in words is "eighty-two million, seven hundred twenty thousand, thirty-five".