72858420 has 48 divisors (see below), whose sum is σ = 226672320. Its totient is φ = 19428768.

The previous prime is 72858391. The next prime is 72858421. The reversal of 72858420 is 2485827.

It is a happy number.

72858420 is a `hidden beast` number, since 72 + 8 + 584 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72858421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66922 + ... + 68001.

It is an arithmetic number, because the mean of its divisors is an integer number (4722340).

Almost surely, 2^72858420 is an apocalyptic number.

It is an amenable number.

72858420 is an abundant number, since it is smaller than the sum of its proper divisors (153813900).

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

72858420 is a wasteful number, since it uses less digits than its factorization.

72858420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134941 (or 134933 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 72858420 is about 8535.7143813509. The cubic root of 72858420 is about 417.6635571780.

The spelling of 72858420 in words is "seventy-two million, eight hundred fifty-eight thousand, four hundred twenty".