71263872 has 48 divisors (see below), whose sum is σ = 205072530. Its totient is φ = 23754240.

The previous prime is 71263861. The next prime is 71263879. The reversal of 71263872 is 27836217.

71263872 is a `hidden beast` number, since 7 + 12 + 638 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63107136 + 8156736 = 7944^2 + 2856^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (71263879) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29779 + ... + 32082.

Almost surely, 2^71263872 is an apocalyptic number.

71263872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

71263872 is an abundant number, since it is smaller than the sum of its proper divisors (133808658).

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

71263872 is a wasteful number, since it uses less digits than its factorization.

71263872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61881 (or 61866 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 71263872 is about 8441.7931744387. The cubic root of 71263872 is about 414.5941200317.

The spelling of 71263872 in words is "seventy-one million, two hundred sixty-three thousand, eight hundred seventy-two".