72382507 has 8 divisors (see below), whose sum is σ = 74737152. Its totient is φ = 70056000.

The previous prime is 72382501. The next prime is 72382511. The reversal of 72382507 is 70528327.

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 72382507 - 2¹¹ = 72380459 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72382501) 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 7 ways as a sum of consecutive naturals, for example, 1744 + ... + 12157.

It is an arithmetic number, because the mean of its divisors is an integer number (9342144).

Almost surely, 2^72382507 is an apocalyptic number.

72382507 is a deficient number, since it is larger than the sum of its proper divisors (2354645).

72382507 is a wasteful number, since it uses less digits than its factorization.

72382507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14069.

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 72382507 is about 8507.7909588800. The cubic root of 72382507 is about 416.7521736691.

The spelling of 72382507 in words is "seventy-two million, three hundred eighty-two thousand, five hundred seven".