72075816 has 144 divisors (see below), whose sum is σ = 213969600. Its totient is φ = 21898944.

The previous prime is 72075811. The next prime is 72075847. The reversal of 72075816 is 61857027.

72075816 is a `hidden beast` number, since 72 + 0 + 7 + 581 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72075811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1221595 + ... + 1221653.

It is an arithmetic number, because the mean of its divisors is an integer number (1485900).

Almost surely, 2^72075816 is an apocalyptic number.

72075816 is a gapful number since it is divisible by the number (76) 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 72075816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106984800).

72075816 is an abundant number, since it is smaller than the sum of its proper divisors (141893784).

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

72075816 is a wasteful number, since it uses less digits than its factorization.

72075816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 72075816 is about 8489.7476994314. The cubic root of 72075816 is about 416.1627352710.

The spelling of 72075816 in words is "seventy-two million, seventy-five thousand, eight hundred sixteen".