72076248 has 48 divisors (see below), whose sum is σ = 196658280. Its totient is φ = 23846784.

The previous prime is 72076247. The next prime is 72076267. The reversal of 72076248 is 84267027.

72076248 is a `hidden beast` number, since 7 + 20 + 7 + 624 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72076247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6211 + ... + 13517.

Almost surely, 2^72076248 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 72076248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98329140).

72076248 is an abundant number, since it is smaller than the sum of its proper divisors (124582032).

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

72076248 is a wasteful number, since it uses less digits than its factorization.

72076248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7456 (or 7449 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 72076248 is about 8489.7731418454. The cubic root of 72076248 is about 416.1635667193.

The spelling of 72076248 in words is "seventy-two million, seventy-six thousand, two hundred forty-eight".