72562460 has 48 divisors (see below), whose sum is σ = 162044064. Its totient is φ = 27199488.

The previous prime is 72562453. The next prime is 72562471. The reversal of 72562460 is 6426527.

72562460 = 148² + 149² + ... + 604².

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155147 + ... + 155613.

It is an arithmetic number, because the mean of its divisors is an integer number (3375918).

Almost surely, 2^72562460 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 72562460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81022032).

72562460 is an abundant number, since it is smaller than the sum of its proper divisors (89481604).

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

72562460 is a wasteful number, since it uses less digits than its factorization.

72562460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 72562460 is about 8518.3601708310. The cubic root of 72562460 is about 417.0972558476.

Adding to 72562460 its reverse (6426527), we get a palindrome (78988987).

The spelling of 72562460 in words is "seventy-two million, five hundred sixty-two thousand, four hundred sixty".