72629172004 has 45 divisors (see below), whose sum is σ = 132027937041. Its totient is φ = 34959280560.

The previous prime is 72629171971. The next prime is 72629172023. The reversal of 72629172004 is 40027192627.

The square root of 72629172004 is 269498.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2361765604 + 70267406400 = 48598^2 + 265080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1190642134 + ... + 1190642194.

Almost surely, 2^72629172004 is an apocalyptic number.

72629172004 is the 269498-th square number.

It is an amenable number.

72629172004 is a deficient number, since it is larger than the sum of its proper divisors (59398765037).

72629172004 is an frugal number, since it uses more digits than its factorization.

72629172004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 72629172004 in words is "seventy-two billion, six hundred twenty-nine million, one hundred seventy-two thousand, four".