72657467 has 2 divisors, whose sum is σ = 72657468. Its totient is φ = 72657466.

The previous prime is 72657461. The next prime is 72657491. The reversal of 72657467 is 76475627.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72657467 - 2⁴ = 72657451 is a prime.

It is a super-4 number, since 4×72657467⁴ (a number of 33 digits) contains 4444 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72657461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36328733 + 36328734.

It is an arithmetic number, because the mean of its divisors is an integer number (36328734).

Almost surely, 2^72657467 is an apocalyptic number.

72657467 is a deficient number, since it is larger than the sum of its proper divisors (1).

72657467 is an equidigital number, since it uses as much as digits as its factorization.

72657467 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 493920, while the sum is 44.

The square root of 72657467 is about 8523.9349481328. The cubic root of 72657467 is about 417.2792134639.

The spelling of 72657467 in words is "seventy-two million, six hundred fifty-seven thousand, four hundred sixty-seven".