72849280 has 192 divisors, whose sum is σ = 213490080. Its totient is φ = 23654400.

The previous prime is 72849277. The next prime is 72849289. The reversal of 72849280 is 8294827.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72849289) 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, 721230 + ... + 721330.

Almost surely, 2^72849280 is an apocalyptic number.

72849280 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106745040).

72849280 is an abundant number, since it is smaller than the sum of its proper divisors (140640800).

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

72849280 is a wasteful number, since it uses less digits than its factorization.

72849280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 72849280 is about 8535.1789670750. The cubic root of 72849280 is about 417.6460913195.

The spelling of 72849280 in words is "seventy-two million, eight hundred forty-nine thousand, two hundred eighty".