72945980 has 48 divisors (see below), whose sum is σ = 164475360. Its totient is φ = 27076608.

The previous prime is 72945979. The next prime is 72945989. The reversal of 72945980 is 8954927.

It is a happy number.

It is a super-2 number, since 2×72945980² = 10642231996320800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72945989) 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 15 ways as a sum of consecutive naturals, for example, 23351 + ... + 26289.

It is an arithmetic number, because the mean of its divisors is an integer number (3426570).

Almost surely, 2^72945980 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 72945980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82237680).

72945980 is an abundant number, since it is smaller than the sum of its proper divisors (91529380).

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

72945980 is a wasteful number, since it uses less digits than its factorization.

72945980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 72945980 is about 8540.8418788782. The cubic root of 72945980 is about 417.8308038319.

The spelling of 72945980 in words is "seventy-two million, nine hundred forty-five thousand, nine hundred eighty".