72670 has 24 divisors (see below), whose sum is σ = 144936. Its totient is φ = 26208.

The previous prime is 72661. The next prime is 72671. The reversal of 72670 is 7627.

72670 = T₁₀₄ + T₁₀₅ + ... + T₁₁₅.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72671) by changing a digit.

72670 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1669 + ... + 1711.

It is an arithmetic number, because the mean of its divisors is an integer number (6039).

2⁷²⁶⁷⁰ is an apocalyptic number.

72670 is a deficient number, since it is larger than the sum of its proper divisors (72266).

72670 is a wasteful number, since it uses less digits than its factorization.

72670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 72670 is about 269.5737375933. The cubic root of 72670 is about 41.7303204849.

The spelling of 72670 in words is "seventy-two thousand, six hundred seventy".