71775072 has 60 divisors (see below), whose sum is σ = 211096116. Its totient is φ = 23924160.

The previous prime is 71775061. The next prime is 71775073. The reversal of 71775072 is 27057717.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71775073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11254 + ... + 16437.

Almost surely, 2^71775072 is an apocalyptic number.

71775072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

71775072 is an abundant number, since it is smaller than the sum of its proper divisors (139321044).

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

71775072 is a wasteful number, since it uses less digits than its factorization.

71775072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27713 (or 27696 counting only the distinct ones).

The product of its (nonzero) digits is 24010, while the sum is 36.

The square root of 71775072 is about 8472.0169971501. The cubic root of 71775072 is about 415.5831005834.

The spelling of 71775072 in words is "seventy-one million, seven hundred seventy-five thousand, seventy-two".