72495360 has 432 divisors, whose sum is σ = 306109440. Its totient is φ = 15482880.

The previous prime is 72495359. The next prime is 72495373. The reversal of 72495360 is 6359427.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2338545 + ... + 2338575.

Almost surely, 2^72495360 is an apocalyptic number.

72495360 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 72495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153054720).

72495360 is an abundant number, since it is smaller than the sum of its proper divisors (233614080).

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

72495360 is a wasteful number, since it uses less digits than its factorization.

72495360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 72495360 is about 8514.4207084217. The cubic root of 72495360 is about 416.9686500594.

The spelling of 72495360 in words is "seventy-two million, four hundred ninety-five thousand, three hundred sixty".