72625104 has 60 divisors (see below), whose sum is σ = 208223652. Its totient is φ = 23616000.

The previous prime is 72625081. The next prime is 72625121. The reversal of 72625104 is 40152627.

It can be written as a sum of positive squares in 2 ways, for example, as 12531600 + 60093504 = 3540^2 + 7752^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247 + ... + 12054.

Almost surely, 2^72625104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72625104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104111826).

72625104 is an abundant number, since it is smaller than the sum of its proper divisors (135598548).

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

72625104 is a wasteful number, since it uses less digits than its factorization.

72625104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12356 (or 12347 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 72625104 is about 8522.0363763598. The cubic root of 72625104 is about 417.2172495976.

The spelling of 72625104 in words is "seventy-two million, six hundred twenty-five thousand, one hundred four".