72177125 has 16 divisors (see below), whose sum is σ = 90984816. Its totient is φ = 57160000.

The previous prime is 72177113. The next prime is 72177167. The reversal of 72177125 is 52177127.

It can be written as a sum of positive squares in 8 ways, for example, as 5166529 + 67010596 = 2273^2 + 8186^2 .

It is not a de Polignac number, because 72177125 - 2⁸ = 72176869 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72177091 and 72177100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9767 + ... + 15483.

It is an arithmetic number, because the mean of its divisors is an integer number (5686551).

Almost surely, 2^72177125 is an apocalyptic number.

It is an amenable number.

72177125 is a deficient number, since it is larger than the sum of its proper divisors (18807691).

72177125 is a wasteful number, since it uses less digits than its factorization.

72177125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5833 (or 5823 counting only the distinct ones).

The product of its digits is 6860, while the sum is 32.

The square root of 72177125 is about 8495.7121537868. The cubic root of 72177125 is about 416.3576286236.

The spelling of 72177125 in words is "seventy-two million, one hundred seventy-seven thousand, one hundred twenty-five".