72852967 has 4 divisors (see below), whose sum is σ = 79475976. Its totient is φ = 66229960.

The previous prime is 72852953. The next prime is 72852979. The reversal of 72852967 is 76925827.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 76925827 = 11 ⋅6993257.

It is a cyclic number.

It is not a de Polignac number, because 72852967 - 2⁷ = 72852839 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 (72852907) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3311488 + ... + 3311509.

It is an arithmetic number, because the mean of its divisors is an integer number (19868994).

Almost surely, 2^72852967 is an apocalyptic number.

72852967 is a deficient number, since it is larger than the sum of its proper divisors (6623009).

72852967 is a wasteful number, since it uses less digits than its factorization.

72852967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6623008.

The product of its digits is 423360, while the sum is 46.

The square root of 72852967 is about 8535.3949527834. The cubic root of 72852967 is about 417.6531370774.

The spelling of 72852967 in words is "seventy-two million, eight hundred fifty-two thousand, nine hundred sixty-seven".