71998920 has 96 divisors (see below), whose sum is σ = 267433920. Its totient is φ = 16456320.

The previous prime is 71998907. The next prime is 71998921. The reversal of 71998920 is 2989917.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (71998921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11766 + ... + 16805.

It is an arithmetic number, because the mean of its divisors is an integer number (2785770).

Almost surely, 2^71998920 is an apocalyptic number.

71998920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

71998920 is an abundant number, since it is smaller than the sum of its proper divisors (195435000).

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

71998920 is a wasteful number, since it uses less digits than its factorization.

71998920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28595 (or 28588 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 71998920 is about 8485.2177343896. The cubic root of 71998920 is about 416.0146845162.

It can be divided in two parts, 71 and 998920, that added together give a triangular number (998991 = T₁₄₁₃).

The spelling of 71998920 in words is "seventy-one million, nine hundred ninety-eight thousand, nine hundred twenty".