72963431 has 2 divisors, whose sum is σ = 72963432. Its totient is φ = 72963430.

The previous prime is 72963421. The next prime is 72963433. The reversal of 72963431 is 13436927.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72963431 - 2¹⁴ = 72947047 is a prime.

It is a super-2 number, since 2×72963431² = 10647324526583522, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 72963433, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 72963391 and 72963400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72963433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36481715 + 36481716.

It is an arithmetic number, because the mean of its divisors is an integer number (36481716).

Almost surely, 2^72963431 is an apocalyptic number.

72963431 is a deficient number, since it is larger than the sum of its proper divisors (1).

72963431 is an equidigital number, since it uses as much as digits as its factorization.

72963431 is an evil number, because the sum of its binary digits is even.

The product of its digits is 27216, while the sum is 35.

The square root of 72963431 is about 8541.8634383839. The cubic root of 72963431 is about 417.8641206506.

The spelling of 72963431 in words is "seventy-two million, nine hundred sixty-three thousand, four hundred thirty-one".