72127737 has 36 divisors (see below), whose sum is σ = 115773840. Its totient is φ = 43235280.

The previous prime is 72127721. The next prime is 72127799. The reversal of 72127737 is 73772127.

It is not a de Polignac number, because 72127737 - 2⁴ = 72127721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72127037) 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 in 35 ways as a sum of consecutive naturals, for example, 116214 + ... + 116832.

It is an arithmetic number, because the mean of its divisors is an integer number (3215940).

Almost surely, 2^72127737 is an apocalyptic number.

It is an amenable number.

72127737 is a deficient number, since it is larger than the sum of its proper divisors (43646103).

72127737 is a wasteful number, since it uses less digits than its factorization.

72127737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 740 counting only the distinct ones).

The product of its digits is 28812, while the sum is 36.

The square root of 72127737 is about 8492.8050136571. The cubic root of 72127737 is about 416.2626411766.

The spelling of 72127737 in words is "seventy-two million, one hundred twenty-seven thousand, seven hundred thirty-seven".