81675072 has 168 divisors, whose sum is σ = 261518400. Its totient is φ = 24219648.

The previous prime is 81675059. The next prime is 81675073. The reversal of 81675072 is 27057618.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81675073) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 185829 + ... + 186267.

Almost surely, 2^81675072 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 81675072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130759200).

81675072 is an abundant number, since it is smaller than the sum of its proper divisors (179843328).

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

81675072 is a wasteful number, since it uses less digits than its factorization.

81675072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 81675072 is about 9037.4261822711. The cubic root of 81675072 is about 433.8735500569.

The spelling of 81675072 in words is "eighty-one million, six hundred seventy-five thousand, seventy-two".