72892096 has 28 divisors (see below), whose sum is σ = 148178520. Its totient is φ = 35555840.

The previous prime is 72892093. The next prime is 72892123. The reversal of 72892096 is 69029827.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72892091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11266 + ... + 16513.

It is an arithmetic number, because the mean of its divisors is an integer number (5292090).

Almost surely, 2^72892096 is an apocalyptic number.

It is an amenable number.

72892096 is an abundant number, since it is smaller than the sum of its proper divisors (75286424).

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

72892096 is a wasteful number, since it uses less digits than its factorization.

72892096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27832 (or 27822 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 72892096 is about 8537.6868061554. The cubic root of 72892096 is about 417.7278969000.

The spelling of 72892096 in words is "seventy-two million, eight hundred ninety-two thousand, ninety-six".