72146825 has 12 divisors (see below), whose sum is σ = 90350988. Its totient is φ = 57144000.

The previous prime is 72146807. The next prime is 72146869. The reversal of 72146825 is 52864127.

It can be written as a sum of positive squares in 6 ways, for example, as 3455881 + 68690944 = 1859^2 + 8288^2 .

It is not a de Polignac number, because 72146825 - 2¹² = 72142729 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11762 + ... + 16811.

It is an arithmetic number, because the mean of its divisors is an integer number (7529249).

Almost surely, 2^72146825 is an apocalyptic number.

It is an amenable number.

72146825 is a deficient number, since it is larger than the sum of its proper divisors (18204163).

72146825 is a wasteful number, since it uses less digits than its factorization.

72146825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28684 (or 28679 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 72146825 is about 8493.9287140875. The cubic root of 72146825 is about 416.2993580755.

The spelling of 72146825 in words is "seventy-two million, one hundred forty-six thousand, eight hundred twenty-five".