72076500 has 192 divisors, whose sum is σ = 246355200. Its totient is φ = 18144000.

The previous prime is 72076493. The next prime is 72076507. The reversal of 72076500 is 567027.

72076500 is a `hidden beast` number, since 7 + 2 + 0 + 7 + 650 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72076493) and next prime (72076507).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72076507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256360 + ... + 256640.

It is an arithmetic number, because the mean of its divisors is an integer number (1283100).

Almost surely, 2^72076500 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 72076500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123177600).

72076500 is an abundant number, since it is smaller than the sum of its proper divisors (174278700).

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

72076500 is a wasteful number, since it uses less digits than its factorization.

72076500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 72076500 is about 8489.7879832184. The cubic root of 72076500 is about 416.1640517293.

The spelling of 72076500 in words is "seventy-two million, seventy-six thousand, five hundred".