72916992 has 168 divisors, whose sum is σ = 224905824. Its totient is φ = 22708224.

The previous prime is 72916981. The next prime is 72916993. The reversal of 72916992 is 29961927.

It is not an unprimeable number, because it can be changed into a prime (72916993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1695723 + ... + 1695765.

Almost surely, 2^72916992 is an apocalyptic number.

72916992 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 72916992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112452912).

72916992 is an abundant number, since it is smaller than the sum of its proper divisors (151988832).

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

72916992 is a wasteful number, since it uses less digits than its factorization.

72916992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 71 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 72916992 is about 8539.1446878478. The cubic root of 72916992 is about 417.7754492434.

The spelling of 72916992 in words is "seventy-two million, nine hundred sixteen thousand, nine hundred ninety-two".