72488196 has 135 divisors (see below), whose sum is σ = 213248343. Its totient is φ = 21455280.

The previous prime is 72488189. The next prime is 72488263. The reversal of 72488196 is 69188427.

The square root of 72488196 is 8514.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1685751 + ... + 1685793.

Almost surely, 2^72488196 is an apocalyptic number.

72488196 is the 8514-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72488196

72488196 is an abundant number, since it is smaller than the sum of its proper divisors (140760147).

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

72488196 is a wasteful number, since it uses less digits than its factorization.

72488196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 59 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The cubic root of 72488196 is about 416.9549146432.

The spelling of 72488196 in words is "seventy-two million, four hundred eighty-eight thousand, one hundred ninety-six".