72942912 has 168 divisors, whose sum is σ = 243027200. Its totient is φ = 20487168.

The previous prime is 72942899. The next prime is 72942941. The reversal of 72942912 is 21924927.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×72942912² = 10641336822079488, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318414 + ... + 318642.

Almost surely, 2^72942912 is an apocalyptic number.

72942912 is a gapful number since it is divisible by the number (72) 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 72942912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121513600).

72942912 is an abundant number, since it is smaller than the sum of its proper divisors (170084288).

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

72942912 is a wasteful number, since it uses less digits than its factorization.

72942912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 320 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 72942912 is about 8540.6622694028. The cubic root of 72942912 is about 417.8249459679.

The spelling of 72942912 in words is "seventy-two million, nine hundred forty-two thousand, nine hundred twelve".