71262720 has 160 divisors (see below), whose sum is σ = 253376640. Its totient is φ = 18984960.

The previous prime is 71262649. The next prime is 71262727. The reversal of 71262720 is 2726217.

71262720 is a `hidden beast` number, since 7 + 12 + 627 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (71262727) 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, 68605 + ... + 69635.

It is an arithmetic number, because the mean of its divisors is an integer number (1583604).

Almost surely, 2^71262720 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 71262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126688320).

71262720 is an abundant number, since it is smaller than the sum of its proper divisors (182113920).

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

71262720 is a wasteful number, since it uses less digits than its factorization.

71262720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 71262720 is about 8441.7249422141. The cubic root of 71262720 is about 414.5918860105.

Adding to 71262720 its reverse (2726217), we get a palindrome (73988937).

The spelling of 71262720 in words is "seventy-one million, two hundred sixty-two thousand, seven hundred twenty".