72351577 has 2 divisors, whose sum is σ = 72351578. Its totient is φ = 72351576.

The previous prime is 72351557. The next prime is 72351589. The reversal of 72351577 is 77515327.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71978256 + 373321 = 8484^2 + 611^2 .

It is a cyclic number.

It is not a de Polignac number, because 72351577 - 2¹⁵ = 72318809 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72351547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36175788 + 36175789.

It is an arithmetic number, because the mean of its divisors is an integer number (36175789).

Almost surely, 2^72351577 is an apocalyptic number.

It is an amenable number.

72351577 is a deficient number, since it is larger than the sum of its proper divisors (1).

72351577 is an equidigital number, since it uses as much as digits as its factorization.

72351577 is an evil number, because the sum of its binary digits is even.

The product of its digits is 51450, while the sum is 37.

The square root of 72351577 is about 8505.9730190026. The cubic root of 72351577 is about 416.6928039782.

It can be divided in two parts, 72 and 351577, that added together give a square (351649 = 593²).

The spelling of 72351577 in words is "seventy-two million, three hundred fifty-one thousand, five hundred seventy-seven".