72690120 has 96 divisors (see below), whose sum is σ = 246542400. Its totient is φ = 18539136.

The previous prime is 72690091. The next prime is 72690131. The reversal of 72690120 is 2109627.

It is a super-2 number, since 2×72690120² = 10567707091228800, which contains 22 as substring.

It is an unprimeable number.

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, 3891 + ... + 12669.

It is an arithmetic number, because the mean of its divisors is an integer number (2568150).

Almost surely, 2^72690120 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 72690120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123271200).

72690120 is an abundant number, since it is smaller than the sum of its proper divisors (173852280).

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

72690120 is a wasteful number, since it uses less digits than its factorization.

72690120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8819 (or 8812 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 72690120 is about 8525.8501042418. The cubic root of 72690120 is about 417.3417139340.

Adding to 72690120 its reverse (2109627), we get a palindrome (74799747).

The spelling of 72690120 in words is "seventy-two million, six hundred ninety thousand, one hundred twenty".