71977752 has 96 divisors (see below), whose sum is σ = 243060480. Its totient is φ = 18694080.

The previous prime is 71977729. The next prime is 71977799. The reversal of 71977752 is 25777917.

It is a junction number, because it is equal to n+sod(n) for n = 71977698 and 71977707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 948 + ... + 12035.

It is an arithmetic number, because the mean of its divisors is an integer number (2531880).

Almost surely, 2^71977752 is an apocalyptic number.

71977752 is a gapful number since it is divisible by the number (72) 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 71977752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121530240).

71977752 is an abundant number, since it is smaller than the sum of its proper divisors (171082728).

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

71977752 is a wasteful number, since it uses less digits than its factorization.

71977752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13013 (or 13006 counting only the distinct ones).

The product of its digits is 216090, while the sum is 45.

The square root of 71977752 is about 8483.9702969777. The cubic root of 71977752 is about 415.9739104693.

The spelling of 71977752 in words is "seventy-one million, nine hundred seventy-seven thousand, seven hundred fifty-two".