72205967 has 8 divisors (see below), whose sum is σ = 74113200. Its totient is φ = 70323264.

The previous prime is 72205937. The next prime is 72205997. The reversal of 72205967 is 76950227.

It is an interprime number because it is at equal distance from previous prime (72205937) and next prime (72205997).

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 72205967 - 2⁸ = 72205711 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 72205967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72205937) 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, 92 + ... + 12017.

It is an arithmetic number, because the mean of its divisors is an integer number (9264150).

Almost surely, 2^72205967 is an apocalyptic number.

72205967 is a deficient number, since it is larger than the sum of its proper divisors (1907233).

72205967 is a wasteful number, since it uses less digits than its factorization.

72205967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12265.

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 72205967 is about 8497.4094287612. The cubic root of 72205967 is about 416.4130801144.

The spelling of 72205967 in words is "seventy-two million, two hundred five thousand, nine hundred sixty-seven".