72883776 has 168 divisors, whose sum is σ = 229794816. Its totient is φ = 20321280.

The previous prime is 72883771. The next prime is 72883787. The reversal of 72883776 is 67738827.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (72883771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 573825 + ... + 573951.

Almost surely, 2^72883776 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 72883776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114897408).

72883776 is an abundant number, since it is smaller than the sum of its proper divisors (156911040).

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

72883776 is a wasteful number, since it uses less digits than its factorization.

72883776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 200 counting only the distinct ones).

The product of its digits is 790272, while the sum is 48.

The square root of 72883776 is about 8537.1995408330. The cubic root of 72883776 is about 417.7120029575.

The spelling of 72883776 in words is "seventy-two million, eight hundred eighty-three thousand, seven hundred seventy-six".