72013427 has 2 divisors, whose sum is σ = 72013428. Its totient is φ = 72013426.

The previous prime is 72013399. The next prime is 72013429. The reversal of 72013427 is 72431027.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72013427 - 2²⁶ = 4904563 is a prime.

Together with 72013429, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_4229405 and since 72013427 and 4229405 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 72013396 and 72013405.

It is not a weakly prime, because it can be changed into another prime (72013429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36006713 + 36006714.

It is an arithmetic number, because the mean of its divisors is an integer number (36006714).

Almost surely, 2^72013427 is an apocalyptic number.

72013427 is a deficient number, since it is larger than the sum of its proper divisors (1).

72013427 is an equidigital number, since it uses as much as digits as its factorization.

72013427 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 72013427 is about 8486.0725309179. The cubic root of 72013427 is about 416.0426234525.

The spelling of 72013427 in words is "seventy-two million, thirteen thousand, four hundred twenty-seven".