72951080 has 64 divisors (see below), whose sum is σ = 176359680. Its totient is φ = 27059200.

The previous prime is 72951079. The next prime is 72951083. The reversal of 72951080 is 8015927.

It is not an unprimeable number, because it can be changed into a prime (72951083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47525 + ... + 49035.

It is an arithmetic number, because the mean of its divisors is an integer number (2755620).

Almost surely, 2^72951080 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 72951080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88179840).

72951080 is an abundant number, since it is smaller than the sum of its proper divisors (103408600).

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

72951080 is a wasteful number, since it uses less digits than its factorization.

72951080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 72951080 is about 8541.1404390749. The cubic root of 72951080 is about 417.8405411171.

The spelling of 72951080 in words is "seventy-two million, nine hundred fifty-one thousand, eighty".