72277120 has 64 divisors (see below), whose sum is σ = 178410240. Its totient is φ = 27970560.

The previous prime is 72277087. The next prime is 72277141. The reversal of 72277120 is 2177227.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 18019 + ... + 21661.

It is an arithmetic number, because the mean of its divisors is an integer number (2787660).

Almost surely, 2^72277120 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 72277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89205120).

72277120 is an abundant number, since it is smaller than the sum of its proper divisors (106133120).

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

72277120 is a wasteful number, since it uses less digits than its factorization.

72277120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3693 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 28.

The square root of 72277120 is about 8501.5951444420. The cubic root of 72277120 is about 416.5498154107.

The spelling of 72277120 in words is "seventy-two million, two hundred seventy-seven thousand, one hundred twenty".