72892482 has 64 divisors (see below), whose sum is σ = 162978816. Its totient is φ = 21591360.

The previous prime is 72892429. The next prime is 72892487. The reversal of 72892482 is 28429827.

It is not an unprimeable number, because it can be changed into a prime (72892487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345357 + ... + 345567.

It is an arithmetic number, because the mean of its divisors is an integer number (2546544).

Almost surely, 2^72892482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72892482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81489408).

72892482 is an abundant number, since it is smaller than the sum of its proper divisors (90086334).

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

72892482 is a wasteful number, since it uses less digits than its factorization.

72892482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375.

The product of its digits is 129024, while the sum is 42.

The square root of 72892482 is about 8537.7094117802. The cubic root of 72892482 is about 417.7286342579.

The spelling of 72892482 in words is "seventy-two million, eight hundred ninety-two thousand, four hundred eighty-two".