72287776 has 48 divisors (see below), whose sum is σ = 156492000. Its totient is φ = 32596480.

The previous prime is 72287767. The next prime is 72287783. The reversal of 72287776 is 67778227.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47475 + ... + 48973.

It is an arithmetic number, because the mean of its divisors is an integer number (3260250).

Almost surely, 2^72287776 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 72287776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78246000).

72287776 is an abundant number, since it is smaller than the sum of its proper divisors (84204224).

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

72287776 is a wasteful number, since it uses less digits than its factorization.

72287776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1649 counting only the distinct ones).

The product of its digits is 460992, while the sum is 46.

The square root of 72287776 is about 8502.2218272637. The cubic root of 72287776 is about 416.5702854051.

The spelling of 72287776 in words is "seventy-two million, two hundred eighty-seven thousand, seven hundred seventy-six".