72456672 has 96 divisors (see below), whose sum is σ = 199148544. Its totient is φ = 23040000.

The previous prime is 72456649. The next prime is 72456679. The reversal of 72456672 is 27665427.

It is a happy number.

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

Its product of digits (141120) is a multiple of the sum of its prime factors (392).

It is a self number, because there is not a number n which added to its sum of digits gives 72456672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72456679) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 288547 + ... + 288797.

It is an arithmetic number, because the mean of its divisors is an integer number (2074464).

Almost surely, 2^72456672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72456672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99574272).

72456672 is an abundant number, since it is smaller than the sum of its proper divisors (126691872).

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

72456672 is a wasteful number, since it uses less digits than its factorization.

72456672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 72456672 is about 8512.1484949453. The cubic root of 72456672 is about 416.8944634558.

The spelling of 72456672 in words is "seventy-two million, four hundred fifty-six thousand, six hundred seventy-two".