72850620 has 96 divisors (see below), whose sum is σ = 214824960. Its totient is φ = 18420480.

The previous prime is 72850619. The next prime is 72850621. The reversal of 72850620 is 2605827.

It is an interprime number because it is at equal distance from previous prime (72850619) and next prime (72850621).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72850621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98211 + ... + 98949.

It is an arithmetic number, because the mean of its divisors is an integer number (2237760).

Almost surely, 2^72850620 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 72850620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107412480).

72850620 is an abundant number, since it is smaller than the sum of its proper divisors (141974340).

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

72850620 is a wasteful number, since it uses less digits than its factorization.

72850620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 72850620 is about 8535.2574653610. The cubic root of 72850620 is about 417.6486520510.

The spelling of 72850620 in words is "seventy-two million, eight hundred fifty thousand, six hundred twenty".