72446 has 16 divisors (see below), whose sum is σ = 123120. Its totient is φ = 31680.

The previous prime is 72431. The next prime is 72461. The reversal of 72446 is 64427.

It is an interprime number because it is at equal distance from previous prime (72431) and next prime (72461).

It is a congruent number.

It is an unprimeable number.

72446 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 7 ways as a sum of consecutive naturals, for example, 770 + ... + 858.

It is an arithmetic number, because the mean of its divisors is an integer number (7695).

2⁷²⁴⁴⁶ is an apocalyptic number.

72446 is a deficient number, since it is larger than the sum of its proper divisors (50674).

72446 is a wasteful number, since it uses less digits than its factorization.

72446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139.

The product of its digits is 1344, while the sum is 23.

The square root of 72446 is about 269.1579461952. The cubic root of 72446 is about 41.6873994597.

The spelling of 72446 in words is "seventy-two thousand, four hundred forty-six".