72897048 has 96 divisors (see below), whose sum is σ = 229975200. Its totient is φ = 20427264.

The previous prime is 72897043. The next prime is 72897059. The reversal of 72897048 is 84079827.

It is a super-2 number, since 2×72897048² = 10627959214228608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72896994 and 72897012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72897043) 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, 25348 + ... + 28076.

It is an arithmetic number, because the mean of its divisors is an integer number (2395575).

Almost surely, 2^72897048 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 72897048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114987600).

72897048 is an abundant number, since it is smaller than the sum of its proper divisors (157078152).

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

72897048 is a wasteful number, since it uses less digits than its factorization.

72897048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 72897048 is about 8537.9768095258. The cubic root of 72897048 is about 417.7373562782.

The spelling of 72897048 in words is "seventy-two million, eight hundred ninety-seven thousand, forty-eight".