72384007 has 8 divisors (see below), whose sum is σ = 74282384. Its totient is φ = 70495488.

The previous prime is 72384001. The next prime is 72384023. The reversal of 72384007 is 70048327.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72384007 - 2⁷ = 72383879 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72384007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72384001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13783 + ... + 18295.

It is an arithmetic number, because the mean of its divisors is an integer number (9285298).

Almost surely, 2^72384007 is an apocalyptic number.

72384007 is a deficient number, since it is larger than the sum of its proper divisors (1898377).

72384007 is a wasteful number, since it uses less digits than its factorization.

72384007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4929.

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 72384007 is about 8507.8791129164. The cubic root of 72384007 is about 416.7550524675.

The spelling of 72384007 in words is "seventy-two million, three hundred eighty-four thousand, seven".