72293280 has 48 divisors (see below), whose sum is σ = 227725344. Its totient is φ = 19278080.

The previous prime is 72293261. The next prime is 72293321. The reversal of 72293280 is 8239227.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74826 + ... + 75785.

It is an arithmetic number, because the mean of its divisors is an integer number (4744278).

Almost surely, 2^72293280 is an apocalyptic number.

It is an amenable number.

72293280 is an abundant number, since it is smaller than the sum of its proper divisors (155432064).

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

72293280 is a wasteful number, since it uses less digits than its factorization.

72293280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150629 (or 150621 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 72293280 is about 8502.5455012014. The cubic root of 72293280 is about 416.5808577074.

The spelling of 72293280 in words is "seventy-two million, two hundred ninety-three thousand, two hundred eighty".