72947712 has 96 divisors (see below), whose sum is σ = 201277440. Its totient is φ = 23470080.

The previous prime is 72947701. The next prime is 72947717. The reversal of 72947712 is 21774927.

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 (72947717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190273 + ... + 190655.

It is an arithmetic number, because the mean of its divisors is an integer number (2096640).

Almost surely, 2^72947712 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 72947712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100638720).

72947712 is an abundant number, since it is smaller than the sum of its proper divisors (128329728).

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

72947712 is a wasteful number, since it uses less digits than its factorization.

72947712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 419 counting only the distinct ones).

The product of its digits is 49392, while the sum is 39.

The square root of 72947712 is about 8540.9432734330. The cubic root of 72947712 is about 417.8341107412.

The spelling of 72947712 in words is "seventy-two million, nine hundred forty-seven thousand, seven hundred twelve".