248072292 has 72 divisors (see below), whose sum is σ = 697132800. Its totient is φ = 73863360.

The previous prime is 248072269. The next prime is 248072329. The reversal of 248072292 is 292270842.

It is a happy number.

248072292 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5959 + ... + 23057.

It is an arithmetic number, because the mean of its divisors is an integer number (9682400).

Almost surely, 2^248072292 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 248072292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348566400).

248072292 is an abundant number, since it is smaller than the sum of its proper divisors (449060508).

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

248072292 is a wasteful number, since it uses less digits than its factorization.

248072292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17153 (or 17148 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 248072292 is about 15750.3108540752. The cubic root of 248072292 is about 628.3371720448.

The spelling of 248072292 in words is "two hundred forty-eight million, seventy-two thousand, two hundred ninety-two".