72258024 has 128 divisors (see below), whose sum is σ = 205286400. Its totient is φ = 21073920.

The previous prime is 72258023. The next prime is 72258029. The reversal of 72258024 is 42085227.

It is a junction number, because it is equal to n+sod(n) for n = 72257982 and 72258000.

It is not an unprimeable number, because it can be changed into a prime (72258023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366694 + ... + 366890.

It is an arithmetic number, because the mean of its divisors is an integer number (1603800).

Almost surely, 2^72258024 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 72258024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102643200).

72258024 is an abundant number, since it is smaller than the sum of its proper divisors (133028376).

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

72258024 is a wasteful number, since it uses less digits than its factorization.

72258024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 72258024 is about 8500.4719868958. The cubic root of 72258024 is about 416.5131272863.

The spelling of 72258024 in words is "seventy-two million, two hundred fifty-eight thousand, twenty-four".