73272960 has 96 divisors (see below), whose sum is σ = 253040580. Its totient is φ = 19537920.

The previous prime is 73272931. The next prime is 73272971. The reversal of 73272960 is 6927237.

It can be written as a sum of positive squares in 2 ways, for example, as 71774784 + 1498176 = 8472^2 + 1224^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 601 + ... + 12120.

Almost surely, 2^73272960 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 73272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126520290).

73272960 is an abundant number, since it is smaller than the sum of its proper divisors (179767620).

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

73272960 is a wasteful number, since it uses less digits than its factorization.

73272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12746 (or 12731 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 73272960 is about 8559.9626167408. The cubic root of 73272960 is about 418.4541815094.

The spelling of 73272960 in words is "seventy-three million, two hundred seventy-two thousand, nine hundred sixty".