72114157 has 2 divisors, whose sum is σ = 72114158. Its totient is φ = 72114156.

The previous prime is 72114113. The next prime is 72114167. The reversal of 72114157 is 75141127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42237001 + 29877156 = 6499^2 + 5466^2 .

It is an emirp because it is prime and its reverse (75141127) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72114157 - 2²³ = 63725549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72114167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36057078 + 36057079.

It is an arithmetic number, because the mean of its divisors is an integer number (36057079).

Almost surely, 2^72114157 is an apocalyptic number.

It is an amenable number.

72114157 is a deficient number, since it is larger than the sum of its proper divisors (1).

72114157 is an equidigital number, since it uses as much as digits as its factorization.

72114157 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1960, while the sum is 28.

The square root of 72114157 is about 8492.0054757401. The cubic root of 72114157 is about 416.2365152981.

It can be divided in two parts, 721 and 14157, that added together give a triangular number (14878 = T₁₇₂).

The spelling of 72114157 in words is "seventy-two million, one hundred fourteen thousand, one hundred fifty-seven".