72002 has 16 divisors (see below), whose sum is σ = 127680. Its totient is φ = 29808.

The previous prime is 71999. The next prime is 72019. The reversal of 72002 is 20027.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 449 + ... + 587.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2⁷²⁰⁰² is an apocalyptic number.

72002 is a deficient number, since it is larger than the sum of its proper divisors (55678).

72002 is a wasteful number, since it uses less digits than its factorization.

72002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185.

The product of its (nonzero) digits is 28, while the sum is 11.

The square root of 72002 is about 268.3318840541. The cubic root of 72002 is about 41.6020616582.

Adding to 72002 its reverse (20027), we get a palindrome (92029).

It can be divided in two parts, 7200 and 2, that multiplied together give a square (14400 = 120²).

The spelling of 72002 in words is "seventy-two thousand, two", and thus it is an iban number.