72858968 has 64 divisors (see below), whose sum is σ = 172307520. Its totient is φ = 28108800.

The previous prime is 72858953. The next prime is 72858983. The reversal of 72858968 is 86985827.

It is an interprime number because it is at equal distance from previous prime (72858953) and next prime (72858983).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28628 + ... + 31068.

It is an arithmetic number, because the mean of its divisors is an integer number (2692305).

Almost surely, 2^72858968 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 72858968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86153760).

72858968 is an abundant number, since it is smaller than the sum of its proper divisors (99448552).

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

72858968 is a wasteful number, since it uses less digits than its factorization.

72858968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 2504 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 53.

The square root of 72858968 is about 8535.7464817086. The cubic root of 72858968 is about 417.6646043187.

It can be divided in two parts, 728 and 58968, that multiplied together give a square (42928704 = 6552²).

The spelling of 72858968 in words is "seventy-two million, eight hundred fifty-eight thousand, nine hundred sixty-eight".