80295072 has 96 divisors (see below), whose sum is σ = 247665600. Its totient is φ = 22456320.

The previous prime is 80295071. The next prime is 80295073. The reversal of 80295072 is 27059208.

It is an interprime number because it is at equal distance from previous prime (80295071) and next prime (80295073).

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 (33).

It is not an unprimeable number, because it can be changed into a prime (80295071) 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, 10804 + ... + 16652.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 2^80295072 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 80295072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123832800).

80295072 is an abundant number, since it is smaller than the sum of its proper divisors (167370528).

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

80295072 is a wasteful number, since it uses less digits than its factorization.

80295072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5886 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 80295072 is about 8960.7517541778. The cubic root of 80295072 is about 431.4160491415.

The spelling of 80295072 in words is "eighty million, two hundred ninety-five thousand, seventy-two".