80415072 has 96 divisors (see below), whose sum is σ = 236396160. Its totient is φ = 26593920.

The previous prime is 80415067. The next prime is 80415079. The reversal of 80415072 is 27051408.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80415079) 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, 140547 + ... + 141117.

It is an arithmetic number, because the mean of its divisors is an integer number (2462460).

Almost surely, 2^80415072 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 80415072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118198080).

80415072 is an abundant number, since it is smaller than the sum of its proper divisors (155981088).

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

80415072 is a wasteful number, since it uses less digits than its factorization.

80415072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 80415072 is about 8967.4451211033. The cubic root of 80415072 is about 431.6308574984.

It can be divided in two parts, 804 and 15072, that added together give a square (15876 = 126²).

The spelling of 80415072 in words is "eighty million, four hundred fifteen thousand, seventy-two".