72123737 has 6 divisors (see below), whose sum is σ = 83899098. Its totient is φ = 61820304.

The previous prime is 72123703. The next prime is 72123757. The reversal of 72123737 is 73732127.

It can be written as a sum of positive squares in only one way, i.e., 38204761 + 33918976 = 6181^2 + 5824^2 .

It is not a de Polignac number, because 72123737 - 2¹⁶ = 72058201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72123757) 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 5 ways as a sum of consecutive naturals, for example, 735908 + ... + 736005.

It is an arithmetic number, because the mean of its divisors is an integer number (13983183).

Almost surely, 2^72123737 is an apocalyptic number.

It is an amenable number.

72123737 is a deficient number, since it is larger than the sum of its proper divisors (11775361).

72123737 is a wasteful number, since it uses less digits than its factorization.

72123737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471927 (or 1471920 counting only the distinct ones).

The product of its digits is 12348, while the sum is 32.

The square root of 72123737 is about 8492.5695169366. The cubic root of 72123737 is about 416.2549461186.

The spelling of 72123737 in words is "seventy-two million, one hundred twenty-three thousand, seven hundred thirty-seven".