72160725 has 96 divisors (see below), whose sum is σ = 149712640. Its totient is φ = 29859840.

The previous prime is 72160691. The next prime is 72160747. The reversal of 72160725 is 52706127.

It is not a de Polignac number, because 72160725 - 2¹² = 72156629 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72160692 and 72160701.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 661971 + ... + 662079.

Almost surely, 2^72160725 is an apocalyptic number.

72160725 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72160725 is an abundant number, since it is smaller than the sum of its proper divisors (77551915).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72160725 is a wasteful number, since it uses less digits than its factorization.

72160725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 72160725 is about 8494.7469061768. The cubic root of 72160725 is about 416.3260914741.

The spelling of 72160725 in words is "seventy-two million, one hundred sixty thousand, seven hundred twenty-five".