72176500 has 72 divisors (see below), whose sum is σ = 173411784. Its totient is φ = 26224000.

The previous prime is 72176491. The next prime is 72176501. The reversal of 72176500 is 567127.

It can be written as a sum of positive squares in 4 ways, for example, as 3020644 + 69155856 = 1738^2 + 8316^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72176501) 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 23 ways as a sum of consecutive naturals, for example, 59904 + ... + 61096.

It is an arithmetic number, because the mean of its divisors is an integer number (2408497).

Almost surely, 2^72176500 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 72176500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86705892).

72176500 is an abundant number, since it is smaller than the sum of its proper divisors (101235284).

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

72176500 is a wasteful number, since it uses less digits than its factorization.

72176500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 72176500 is about 8495.6753704458. The cubic root of 72176500 is about 416.3564268381.

The spelling of 72176500 in words is "seventy-two million, one hundred seventy-six thousand, five hundred".