72676629 has 16 divisors (see below), whose sum is σ = 108187840. Its totient is φ = 48217680.

The previous prime is 72676609. The next prime is 72676673. The reversal of 72676629 is 92667627.

It is not a de Polignac number, because 72676629 - 2¹³ = 72668437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72676609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 682 + ... + 12075.

It is an arithmetic number, because the mean of its divisors is an integer number (6761740).

Almost surely, 2^72676629 is an apocalyptic number.

It is an amenable number.

72676629 is a deficient number, since it is larger than the sum of its proper divisors (35511211).

72676629 is a wasteful number, since it uses less digits than its factorization.

72676629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12977 (or 12971 counting only the distinct ones).

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

The square root of 72676629 is about 8525.0588854271. The cubic root of 72676629 is about 417.3158933437.

The spelling of 72676629 in words is "seventy-two million, six hundred seventy-six thousand, six hundred twenty-nine".