72671427 has 24 divisors (see below), whose sum is σ = 108467424. Its totient is φ = 46859904.

The previous prime is 72671387. The next prime is 72671429. The reversal of 72671427 is 72417627.

It is a happy number.

It is not a de Polignac number, because 72671427 - 2⁶ = 72671363 is a prime.

It is a super-2 number, since 2×72671427² = 10562272604432658, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72671391 and 72671400.

It is not an unprimeable number, because it can be changed into a prime (72671429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33778 + ... + 35864.

It is an arithmetic number, because the mean of its divisors is an integer number (4519476).

Almost surely, 2^72671427 is an apocalyptic number.

72671427 is a deficient number, since it is larger than the sum of its proper divisors (35795997).

72671427 is a wasteful number, since it uses less digits than its factorization.

72671427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2216 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 72671427 is about 8524.7537794355. The cubic root of 72671427 is about 417.3059363185.

The spelling of 72671427 in words is "seventy-two million, six hundred seventy-one thousand, four hundred twenty-seven".