72997848 has 360 divisors, whose sum is σ = 275190300. Its totient is φ = 17962560.

The previous prime is 72997823. The next prime is 72997849. The reversal of 72997848 is 84879927.

It is a super-2 number, since 2×72997848² = 10657371625262208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2032128) is a multiple of the sum of its prime divisors (42).

It is a junction number, because it is equal to n+sod(n) for n = 72997794 and 72997803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72997849) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3841983 + ... + 3842001.

Almost surely, 2^72997848 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 72997848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137595150).

72997848 is an abundant number, since it is smaller than the sum of its proper divisors (202192452).

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

72997848 is a wasteful number, since it uses less digits than its factorization.

72997848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 42 counting only the distinct ones).

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

The square root of 72997848 is about 8543.8778081150. The cubic root of 72997848 is about 417.9298127768.

The spelling of 72997848 in words is "seventy-two million, nine hundred ninety-seven thousand, eight hundred forty-eight".