72912048 has 80 divisors (see below), whose sum is σ = 217593216. Its totient is φ = 20792320.

The previous prime is 72912043. The next prime is 72912053. The reversal of 72912048 is 84021927.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72912043) and next prime (72912053).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (72912043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4915 + ... + 13037.

Almost surely, 2^72912048 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 72912048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108796608).

72912048 is an abundant number, since it is smaller than the sum of its proper divisors (144681168).

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

72912048 is a wasteful number, since it uses less digits than its factorization.

72912048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8162 (or 8156 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 72912048 is about 8538.8551925888. The cubic root of 72912048 is about 417.7660068695.

It can be divided in two parts, 7291 and 2048, that added together give a palindrome (9339).

The spelling of 72912048 in words is "seventy-two million, nine hundred twelve thousand, forty-eight".