72667629 has 12 divisors (see below), whose sum is σ = 105115296. Its totient is φ = 48375432.

The previous prime is 72667619. The next prime is 72667643. The reversal of 72667629 is 92676627.

It is not a de Polignac number, because 72667629 - 2⁹ = 72667117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72667619) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1254 + ... + 12120.

It is an arithmetic number, because the mean of its divisors is an integer number (8759608).

Almost surely, 2^72667629 is an apocalyptic number.

It is an amenable number.

72667629 is a deficient number, since it is larger than the sum of its proper divisors (32447667).

72667629 is a wasteful number, since it uses less digits than its factorization.

72667629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11616 (or 11613 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 72667629 is about 8524.5310134928. The cubic root of 72667629 is about 417.2986663564.

The spelling of 72667629 in words is "seventy-two million, six hundred sixty-seven thousand, six hundred twenty-nine".