72603180 has 288 divisors, whose sum is σ = 264176640. Its totient is φ = 15966720.

The previous prime is 72603151. The next prime is 72603187. The reversal of 72603180 is 8130627.

It is a super-2 number, since 2×72603180² = 10542443492224800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72603187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1022545 + ... + 1022615.

It is an arithmetic number, because the mean of its divisors is an integer number (917280).

Almost surely, 2^72603180 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 72603180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

72603180 is an abundant number, since it is smaller than the sum of its proper divisors (191573460).

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

72603180 is a wasteful number, since it uses less digits than its factorization.

72603180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 72603180 is about 8520.7499669923. The cubic root of 72603180 is about 417.1752623183.

It can be divided in two parts, 7260 and 3180, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 72603180 in words is "seventy-two million, six hundred three thousand, one hundred eighty".