72381825 has 36 divisors (see below), whose sum is σ = 134126460. Its totient is φ = 37269120.

The previous prime is 72381821. The next prime is 72381847. The reversal of 72381825 is 52818327.

It can be written as a sum of positive squares in 6 ways, for example, as 199809 + 72182016 = 447^2 + 8496^2 .

It is not a de Polignac number, because 72381825 - 2² = 72381821 is a prime.

It is a super-3 number, since 3×72381825³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72381825.

It is not an unprimeable number, because it can be changed into a prime (72381821) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 979 + ... + 12071.

It is an arithmetic number, because the mean of its divisors is an integer number (3725735).

Almost surely, 2^72381825 is an apocalyptic number.

72381825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72381825 is a deficient number, since it is larger than the sum of its proper divisors (61744635).

72381825 is a wasteful number, since it uses less digits than its factorization.

72381825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11138 (or 11130 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 72381825 is about 8507.7508778760. The cubic root of 72381825 is about 416.7508647623.

It can be divided in two parts, 7 and 2381825, that added together give a palindrome (2381832).

The spelling of 72381825 in words is "seventy-two million, three hundred eighty-one thousand, eight hundred twenty-five".