81246672 has 320 divisors, whose sum is σ = 284981760. Its totient is φ = 21897216.

The previous prime is 81246667. The next prime is 81246713. The reversal of 81246672 is 27664218.

It is a super-2 number, since 2×81246672² = 13202043422151168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2195838 + ... + 2195874.

It is an arithmetic number, because the mean of its divisors is an integer number (890568).

Almost surely, 2^81246672 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 81246672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

81246672 is an abundant number, since it is smaller than the sum of its proper divisors (203735088).

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

81246672 is a wasteful number, since it uses less digits than its factorization.

81246672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 95 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 81246672 is about 9013.6935825443. The cubic root of 81246672 is about 433.1136390641.

It can be divided in two parts, 81246 and 672, that added together give a palindrome (81918).

The spelling of 81246672 in words is "eighty-one million, two hundred forty-six thousand, six hundred seventy-two".