72506367 has 16 divisors (see below), whose sum is σ = 107548000. Its totient is φ = 48278592.

The previous prime is 72506353. The next prime is 72506387. The reversal of 72506367 is 76360527.

It is a happy number.

It is not a de Polignac number, because 72506367 - 2¹⁴ = 72489983 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72506387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42609 + ... + 44277.

It is an arithmetic number, because the mean of its divisors is an integer number (6721750).

Almost surely, 2^72506367 is an apocalyptic number.

72506367 is a deficient number, since it is larger than the sum of its proper divisors (35041633).

72506367 is a wasteful number, since it uses less digits than its factorization.

72506367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 72506367 is about 8515.0670578687. The cubic root of 72506367 is about 416.9897518314.

The spelling of 72506367 in words is "seventy-two million, five hundred six thousand, three hundred sixty-seven".