72401820 has 48 divisors (see below), whose sum is σ = 203212800. Its totient is φ = 19260736.

The previous prime is 72401801. The next prime is 72401821. The reversal of 72401820 is 2810427.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72401821) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 28981 + ... + 31379.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 2^72401820 is an apocalyptic number.

It is an amenable number.

72401820 is an abundant number, since it is smaller than the sum of its proper divisors (130810980).

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

72401820 is a wasteful number, since it uses less digits than its factorization.

72401820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 72401820 is about 8508.9259016635. The cubic root of 72401820 is about 416.7892361184.

The spelling of 72401820 in words is "seventy-two million, four hundred one thousand, eight hundred twenty".