72671820 has 48 divisors (see below), whose sum is σ = 219135840. Its totient is φ = 17888256.

The previous prime is 72671777. The next prime is 72671831. The reversal of 72671820 is 2817627.

It is a super-2 number, since 2×72671820² = 10562386844224800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45805 + ... + 47364.

It is an arithmetic number, because the mean of its divisors is an integer number (4565330).

Almost surely, 2^72671820 is an apocalyptic number.

It is an amenable number.

72671820 is an abundant number, since it is smaller than the sum of its proper divisors (146464020).

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

72671820 is a wasteful number, since it uses less digits than its factorization.

72671820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93194 (or 93192 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 72671820 is about 8524.7768299235. The cubic root of 72671820 is about 417.3066885671.

The spelling of 72671820 in words is "seventy-two million, six hundred seventy-one thousand, eight hundred twenty".