72125820 has 108 divisors (see below), whose sum is σ = 237005496. Its totient is φ = 17746560.

The previous prime is 72125819. The next prime is 72125827. The reversal of 72125820 is 2852127.

72125820 is a `hidden beast` number, since 72 + 12 + 582 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72125827) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 29235 + ... + 31605.

Almost surely, 2^72125820 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 72125820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118502748).

72125820 is an abundant number, since it is smaller than the sum of its proper divisors (164879676).

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

72125820 is a wasteful number, since it uses less digits than its factorization.

72125820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 72125820 is about 8492.6921526687. The cubic root of 72125820 is about 416.2589533556.

Adding to 72125820 its reverse (2852127), we get a palindrome (74977947).

The spelling of 72125820 in words is "seventy-two million, one hundred twenty-five thousand, eight hundred twenty".