72161700 has 72 divisors (see below), whose sum is σ = 224860608. Its totient is φ = 17761920.

The previous prime is 72161693. The next prime is 72161701. The reversal of 72161700 is 716127.

It is not an unprimeable number, because it can be changed into a prime (72161701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5352 + ... + 13151.

It is an arithmetic number, because the mean of its divisors is an integer number (3123064).

Almost surely, 2^72161700 is an apocalyptic number.

It is an amenable number.

72161700 is an abundant number, since it is smaller than the sum of its proper divisors (152698908).

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

72161700 is a wasteful number, since it uses less digits than its factorization.

72161700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18533 (or 18526 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 72161700 is about 8494.8042943908. The cubic root of 72161700 is about 416.3279665297.

Adding to 72161700 its reverse (716127), we get a palindrome (72877827).

The spelling of 72161700 in words is "seventy-two million, one hundred sixty-one thousand, seven hundred".