72672 has 24 divisors (see below), whose sum is σ = 191016. Its totient is φ = 24192.

The previous prime is 72671. The next prime is 72673. The reversal of 72672 is 27627.

It is an interprime number because it is at equal distance from previous prime (72671) and next prime (72673).

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 283 + ... + 474.

It is an arithmetic number, because the mean of its divisors is an integer number (7959).

2⁷²⁶⁷² is an apocalyptic number.

It is an amenable number.

72672 is an abundant number, since it is smaller than the sum of its proper divisors (118344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95508).

72672 is a wasteful number, since it uses less digits than its factorization.

72672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 762 counting only the distinct ones).

The product of its digits is 1176, while the sum is 24.

The square root of 72672 is about 269.5774471279. The cubic root of 72672 is about 41.7307033108.

It can be divided in two parts, 72 and 672, that multiplied together give a palindrome (48384).

The spelling of 72672 in words is "seventy-two thousand, six hundred seventy-two".