72058629 has 16 divisors (see below), whose sum is σ = 98081024. Its totient is φ = 47044800.

The previous prime is 72058627. The next prime is 72058633. The reversal of 72058629 is 92685027.

It is a happy number.

It is not a de Polignac number, because 72058629 - 2¹ = 72058627 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 (72058627) 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 15 ways as a sum of consecutive naturals, for example, 48867 + ... + 50319.

It is an arithmetic number, because the mean of its divisors is an integer number (6130064).

Almost surely, 2^72058629 is an apocalyptic number.

It is an amenable number.

72058629 is a deficient number, since it is larger than the sum of its proper divisors (26022395).

72058629 is a wasteful number, since it uses less digits than its factorization.

72058629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788.

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 72058629 is about 8488.7354181880. The cubic root of 72058629 is about 416.1296536359.

The spelling of 72058629 in words is "seventy-two million, fifty-eight thousand, six hundred twenty-nine".