72738157 has 2 divisors, whose sum is σ = 72738158. Its totient is φ = 72738156.

The previous prime is 72738131. The next prime is 72738161. The reversal of 72738157 is 75183727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67420521 + 5317636 = 8211^2 + 2306^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72738157 is a prime.

It is equal to p_4269559 and since 72738157 and 4269559 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72738557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36369078 + 36369079.

It is an arithmetic number, because the mean of its divisors is an integer number (36369079).

Almost surely, 2^72738157 is an apocalyptic number.

It is an amenable number.

72738157 is a deficient number, since it is larger than the sum of its proper divisors (1).

72738157 is an equidigital number, since it uses as much as digits as its factorization.

72738157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 82320, while the sum is 40.

The square root of 72738157 is about 8528.6667774043. Note that the first 3 decimals coincide. The cubic root of 72738157 is about 417.4336266055.

The spelling of 72738157 in words is "seventy-two million, seven hundred thirty-eight thousand, one hundred fifty-seven".