72460192 has 48 divisors (see below), whose sum is σ = 165739392. Its totient is φ = 30539520.

The previous prime is 72460163. The next prime is 72460217. The reversal of 72460192 is 29106427.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11013 + ... + 16315.

It is an arithmetic number, because the mean of its divisors is an integer number (3452904).

Almost surely, 2^72460192 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 72460192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82869696).

72460192 is an abundant number, since it is smaller than the sum of its proper divisors (93279200).

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

72460192 is a wasteful number, since it uses less digits than its factorization.

72460192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5381 (or 5373 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 72460192 is about 8512.3552557444. The cubic root of 72460192 is about 416.9012143627.

Subtracting from 72460192 its product of nonzero digits (6048), we obtain a square (72454144 = 8512²).

The spelling of 72460192 in words is "seventy-two million, four hundred sixty thousand, one hundred ninety-two".