72780120 has 160 divisors (see below), whose sum is σ = 279655200. Its totient is φ = 16630272.

The previous prime is 72780091. The next prime is 72780121. The reversal of 72780120 is 2108727.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72780121) 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 39 ways as a sum of consecutive naturals, for example, 21076 + ... + 24284.

It is an arithmetic number, because the mean of its divisors is an integer number (1747845).

Almost surely, 2^72780120 is an apocalyptic number.

72780120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72780120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139827600).

72780120 is an abundant number, since it is smaller than the sum of its proper divisors (206875080).

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

72780120 is a wasteful number, since it uses less digits than its factorization.

72780120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 72780120 is about 8531.1265375682. The cubic root of 72780120 is about 417.5138843435.

Adding to 72780120 its reverse (2108727), we get a palindrome (74888847).

It can be divided in two parts, 727801 and 20, that added together give a triangular number (727821 = T₁₂₀₆).

The spelling of 72780120 in words is "seventy-two million, seven hundred eighty thousand, one hundred twenty".