72248970 has 64 divisors (see below), whose sum is σ = 179262720. Its totient is φ = 18624000.

The previous prime is 72248959. The next prime is 72248977. The reversal of 72248970 is 7984227.

It is not an unprimeable number, because it can be changed into a prime (72248977) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 185536 + ... + 185924.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 2^72248970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72248970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

72248970 is an abundant number, since it is smaller than the sum of its proper divisors (107013750).

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

72248970 is a wasteful number, since it uses less digits than its factorization.

72248970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591.

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 72248970 is about 8499.9394115488. The cubic root of 72248970 is about 416.4957300610.

The spelling of 72248970 in words is "seventy-two million, two hundred forty-eight thousand, nine hundred seventy".