72286500 has 192 divisors, whose sum is σ = 248032512. Its totient is φ = 16128000.

The previous prime is 72286481. The next prime is 72286519. The reversal of 72286500 is 568227.

It is an interprime number because it is at equal distance from previous prime (72286481) and next prime (72286519).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214332 + ... + 214668.

It is an arithmetic number, because the mean of its divisors is an integer number (1291836).

Almost surely, 2^72286500 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 72286500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124016256).

72286500 is an abundant number, since it is smaller than the sum of its proper divisors (175746012).

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

72286500 is a wasteful number, since it uses less digits than its factorization.

72286500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 371 counting only the distinct ones).

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

The square root of 72286500 is about 8502.1467877237. The cubic root of 72286500 is about 416.5678343368.

The spelling of 72286500 in words is "seventy-two million, two hundred eighty-six thousand, five hundred".