81032072 has 64 divisors (see below), whose sum is σ = 174666240. Its totient is φ = 34905600.

The previous prime is 81032069. The next prime is 81032123. The reversal of 81032072 is 27023018.

It is a super-2 number, since 2×81032072² = 13132393385226368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133193 + ... + 133799.

It is an arithmetic number, because the mean of its divisors is an integer number (2729160).

Almost surely, 2^81032072 is an apocalyptic number.

81032072 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81032072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87333120).

81032072 is an abundant number, since it is smaller than the sum of its proper divisors (93634168).

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

81032072 is a wasteful number, since it uses less digits than its factorization.

81032072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 81032072 is about 9001.7816014387. The cubic root of 81032072 is about 432.7319695176.

The spelling of 81032072 in words is "eighty-one million, thirty-two thousand, seventy-two".