72471280 has 80 divisors (see below), whose sum is σ = 194273280. Its totient is φ = 24627456.

The previous prime is 72471251. The next prime is 72471283. The reversal of 72471280 is 8217427.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72471283) 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, 70611 + ... + 71629.

It is an arithmetic number, because the mean of its divisors is an integer number (2428416).

Almost surely, 2^72471280 is an apocalyptic number.

72471280 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72471280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97136640).

72471280 is an abundant number, since it is smaller than the sum of its proper divisors (121802000).

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

72471280 is a wasteful number, since it uses less digits than its factorization.

72471280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The square root of 72471280 is about 8513.0065194384. The cubic root of 72471280 is about 416.9224782906.

The spelling of 72471280 in words is "seventy-two million, four hundred seventy-one thousand, two hundred eighty".