72998748 has 72 divisors (see below), whose sum is σ = 196756560. Its totient is φ = 22740480.

The previous prime is 72998747. The next prime is 72998777. The reversal of 72998748 is 84789927.

It is a junction number, because it is equal to n+sod(n) for n = 72998694 and 72998703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72998747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110443 + ... + 111101.

It is an arithmetic number, because the mean of its divisors is an integer number (2732730).

Almost surely, 2^72998748 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 72998748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98378280).

72998748 is an abundant number, since it is smaller than the sum of its proper divisors (123757812).

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

72998748 is a wasteful number, since it uses less digits than its factorization.

72998748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 862 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 72998748 is about 8543.9304772452. The cubic root of 72998748 is about 417.9315303401.

The spelling of 72998748 in words is "seventy-two million, nine hundred ninety-eight thousand, seven hundred forty-eight".