71904768 has 120 divisors (see below), whose sum is σ = 208176408. Its totient is φ = 22044672.

The previous prime is 71904757. The next prime is 71904799. The reversal of 71904768 is 86740917.

It is a super-2 number, since 2×71904768² = 10340591322267648, which contains 22 as substring.

It is a congruent number.

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, 259446 + ... + 259722.

Almost surely, 2^71904768 is an apocalyptic number.

71904768 is a gapful number since it is divisible by the number (78) 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 71904768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104088204).

71904768 is an abundant number, since it is smaller than the sum of its proper divisors (136271640).

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

71904768 is a wasteful number, since it uses less digits than its factorization.

71904768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 71904768 is about 8479.6679180260. The cubic root of 71904768 is about 415.8332665152.

The spelling of 71904768 in words is "seventy-one million, nine hundred four thousand, seven hundred sixty-eight".