72837792 has 288 divisors, whose sum is σ = 247665600. Its totient is φ = 20901888.

The previous prime is 72837769. The next prime is 72837797. The reversal of 72837792 is 29773827.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (72837797) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2511634 + ... + 2511662.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 2^72837792 is an apocalyptic number.

72837792 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 72837792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123832800).

72837792 is an abundant number, since it is smaller than the sum of its proper divisors (174827808).

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

72837792 is a wasteful number, since it uses less digits than its factorization.

72837792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 70 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 72837792 is about 8534.5059610970. The cubic root of 72837792 is about 417.6241365360.

The spelling of 72837792 in words is "seventy-two million, eight hundred thirty-seven thousand, seven hundred ninety-two".