72829057 has 16 divisors (see below), whose sum is σ = 85865472. Its totient is φ = 60474960.

The previous prime is 72829051. The next prime is 72829103. The reversal of 72829057 is 75092827.

It is not a de Polignac number, because 72829057 - 2⁷ = 72828929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72829051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38508 + ... + 40354.

It is an arithmetic number, because the mean of its divisors is an integer number (5366592).

Almost surely, 2^72829057 is an apocalyptic number.

It is an amenable number.

72829057 is a deficient number, since it is larger than the sum of its proper divisors (13036415).

72829057 is a wasteful number, since it uses less digits than its factorization.

72829057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028.

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 72829057 is about 8533.9941996699. The cubic root of 72829057 is about 417.6074414817.

The spelling of 72829057 in words is "seventy-two million, eight hundred twenty-nine thousand, fifty-seven".