72077825 has 6 divisors (see below), whose sum is σ = 89376534. Its totient is φ = 57662240.

The previous prime is 72077749. The next prime is 72077833. The reversal of 72077825 is 52877027.

It can be written as a sum of positive squares in 3 ways, for example, as 692224 + 71385601 = 832^2 + 8449^2 .

It is not a de Polignac number, because 72077825 - 2¹⁰ = 72076801 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1441532 + ... + 1441581.

It is an arithmetic number, because the mean of its divisors is an integer number (14896089).

Almost surely, 2^72077825 is an apocalyptic number.

It is an amenable number.

72077825 is a deficient number, since it is larger than the sum of its proper divisors (17298709).

72077825 is a wasteful number, since it uses less digits than its factorization.

72077825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883123 (or 2883118 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 38.

The square root of 72077825 is about 8489.8660177885. The cubic root of 72077825 is about 416.1666018623.

The spelling of 72077825 in words is "seventy-two million, seventy-seven thousand, eight hundred twenty-five".