71977872 has 60 divisors (see below), whose sum is σ = 190602384. Its totient is φ = 23405760.

The previous prime is 71977859. The next prime is 71977901. The reversal of 71977872 is 27877917.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 88347 + ... + 89157.

Almost surely, 2^71977872 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 71977872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95301192).

71977872 is an abundant number, since it is smaller than the sum of its proper divisors (118624512).

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

71977872 is a wasteful number, since it uses less digits than its factorization.

71977872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 859 counting only the distinct ones).

The product of its digits is 345744, while the sum is 48.

The square root of 71977872 is about 8483.9773691353. The cubic root of 71977872 is about 415.9741416373.

The spelling of 71977872 in words is "seventy-one million, nine hundred seventy-seven thousand, eight hundred seventy-two".