72733147 has 2 divisors, whose sum is σ = 72733148. Its totient is φ = 72733146.

The previous prime is 72733109. The next prime is 72733187. The reversal of 72733147 is 74133727.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72733147 - 2¹⁹ = 72208859 is a prime.

It is a super-2 number, since 2×72733147² = 10580221345047218, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72733187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36366573 + 36366574.

It is an arithmetic number, because the mean of its divisors is an integer number (36366574).

Almost surely, 2^72733147 is an apocalyptic number.

72733147 is a deficient number, since it is larger than the sum of its proper divisors (1).

72733147 is an equidigital number, since it uses as much as digits as its factorization.

72733147 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24696, while the sum is 34.

The square root of 72733147 is about 8528.3730570373. The cubic root of 72733147 is about 417.4240425001.

The spelling of 72733147 in words is "seventy-two million, seven hundred thirty-three thousand, one hundred forty-seven".