72007 has 8 divisors (see below), whose sum is σ = 80640. Its totient is φ = 63840.

The previous prime is 71999. The next prime is 72019. The reversal of 72007 is 70027.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72007 - 2³ = 71999 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72047) 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, 282 + ... + 472.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2⁷²⁰⁰⁷ is an apocalyptic number.

72007 is a deficient number, since it is larger than the sum of its proper divisors (8633).

72007 is a wasteful number, since it uses less digits than its factorization.

72007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233.

The product of its (nonzero) digits is 98, while the sum is 16.

The square root of 72007 is about 268.3412007128. The cubic root of 72007 is about 41.6030246198.

The spelling of 72007 in words is "seventy-two thousand, seven", and thus it is an iban number.