72771120 has 120 divisors (see below), whose sum is σ = 249131376. Its totient is φ = 19029504.

The previous prime is 72771107. The next prime is 72771133. The reversal of 72771120 is 2117727.

It is an interprime number because it is at equal distance from previous prime (72771107) and next prime (72771133).

It is a tau number, because it is divible by the number of its divisors (120).

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, 37207 + ... + 39113.

Almost surely, 2^72771120 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 72771120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124565688).

72771120 is an abundant number, since it is smaller than the sum of its proper divisors (176360256).

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

72771120 is a wasteful number, since it uses less digits than its factorization.

72771120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 72771120 is about 8530.5990410990. The cubic root of 72771120 is about 417.4966736919.

Adding to 72771120 its reverse (2117727), we get a palindrome (74888847).

The spelling of 72771120 in words is "seventy-two million, seven hundred seventy-one thousand, one hundred twenty".