72087461 has 2 divisors, whose sum is σ = 72087462. Its totient is φ = 72087460.

The previous prime is 72087403. The next prime is 72087467. The reversal of 72087461 is 16478027.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52780225 + 19307236 = 7265^2 + 4394^2 .

It is a cyclic number.

It is not a de Polignac number, because 72087461 - 2⁶ = 72087397 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72087467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36043730 + 36043731.

It is an arithmetic number, because the mean of its divisors is an integer number (36043731).

Almost surely, 2^72087461 is an apocalyptic number.

It is an amenable number.

72087461 is a deficient number, since it is larger than the sum of its proper divisors (1).

72087461 is an equidigital number, since it uses as much as digits as its factorization.

72087461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 72087461 is about 8490.4334989446. The cubic root of 72087461 is about 416.1851466445.

The spelling of 72087461 in words is "seventy-two million, eighty-seven thousand, four hundred sixty-one".