72984672 has 96 divisors (see below), whose sum is σ = 225439200. Its totient is φ = 22892544.

The previous prime is 72984671. The next prime is 72984673. The reversal of 72984672 is 27648927.

It is an interprime number because it is at equal distance from previous prime (72984671) and next prime (72984673).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72984671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12204 + ... + 17172.

It is an arithmetic number, because the mean of its divisors is an integer number (2348325).

Almost surely, 2^72984672 is an apocalyptic number.

72984672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72984672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112719600).

72984672 is an abundant number, since it is smaller than the sum of its proper divisors (152454528).

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

72984672 is a wasteful number, since it uses less digits than its factorization.

72984672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5005 (or 4991 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 72984672 is about 8543.1066948739. The cubic root of 72984672 is about 417.9046660329.

The spelling of 72984672 in words is "seventy-two million, nine hundred eighty-four thousand, six hundred seventy-two".