72852480 has 352 divisors, whose sum is σ = 282977280. Its totient is φ = 17694720.

The previous prime is 72852473. The next prime is 72852487. The reversal of 72852480 is 8425827.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72852473) and next prime (72852487).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72852487) 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, 2350065 + ... + 2350095.

Almost surely, 2^72852480 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 72852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141488640).

72852480 is an abundant number, since it is smaller than the sum of its proper divisors (210124800).

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

72852480 is a wasteful number, since it uses less digits than its factorization.

72852480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 72852480 is about 8535.3664244718. The cubic root of 72852480 is about 417.6522064471.

The spelling of 72852480 in words is "seventy-two million, eight hundred fifty-two thousand, four hundred eighty".