72631729 has 4 divisors (see below), whose sum is σ = 74974720. Its totient is φ = 70288740.

The previous prime is 72631717. The next prime is 72631751. The reversal of 72631729 is 92713627.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 72631729 - 2¹⁷ = 72500657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72631709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1171449 + ... + 1171510.

It is an arithmetic number, because the mean of its divisors is an integer number (18743680).

Almost surely, 2^72631729 is an apocalyptic number.

It is an amenable number.

72631729 is a deficient number, since it is larger than the sum of its proper divisors (2342991).

72631729 is a wasteful number, since it uses less digits than its factorization.

72631729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342990.

The product of its digits is 31752, while the sum is 37.

The square root of 72631729 is about 8522.4250656723. The cubic root of 72631729 is about 417.2299356619.

The spelling of 72631729 in words is "seventy-two million, six hundred thirty-one thousand, seven hundred twenty-nine".