71954496 has 84 divisors (see below), whose sum is σ = 210225132. Its totient is φ = 23522304.

The previous prime is 71954483. The next prime is 71954507. The reversal of 71954496 is 69445917.

71954496 is a `hidden beast` number, since 7 + 19 + 544 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31809600 + 40144896 = 5640^2 + 6336^2 .

It is a super-2 number, since 2×71954496² = 10354898989228032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29350 + ... + 31706.

Almost surely, 2^71954496 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 71954496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105112566).

71954496 is an abundant number, since it is smaller than the sum of its proper divisors (138270636).

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

71954496 is a wasteful number, since it uses less digits than its factorization.

71954496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2415 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 71954496 is about 8482.5996015373. The cubic root of 71954496 is about 415.9291052758.

The spelling of 71954496 in words is "seventy-one million, nine hundred fifty-four thousand, four hundred ninety-six".