72289625 has 8 divisors (see below), whose sum is σ = 90217608. Its totient is φ = 57831600.

The previous prime is 72289577. The next prime is 72289643. The reversal of 72289625 is 52698227.

It can be written as a sum of positive squares in 4 ways, for example, as 175561 + 72114064 = 419^2 + 8492^2 .

It is not a de Polignac number, because 72289625 - 2⁶ = 72289561 is a prime.

It is a super-3 number, since 3×72289625³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

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 7 ways as a sum of consecutive naturals, for example, 289034 + ... + 289283.

It is an arithmetic number, because the mean of its divisors is an integer number (11277201).

Almost surely, 2^72289625 is an apocalyptic number.

It is an amenable number.

72289625 is a deficient number, since it is larger than the sum of its proper divisors (17927983).

72289625 is an equidigital number, since it uses as much as digits as its factorization.

72289625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578332 (or 578322 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The square root of 72289625 is about 8502.3305628516. The cubic root of 72289625 is about 416.5738370977.

The spelling of 72289625 in words is "seventy-two million, two hundred eighty-nine thousand, six hundred twenty-five".