72099776 has 84 divisors (see below), whose sum is σ = 169045128. Its totient is φ = 30417408.

The previous prime is 72099773. The next prime is 72099793. The reversal of 72099776 is 67799027.

It is a self number, because there is not a number n which added to its sum of digits gives 72099776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72099773) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260150 + ... + 260426.

It is an arithmetic number, because the mean of its divisors is an integer number (2012442).

Almost surely, 2^72099776 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 72099776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84522564).

72099776 is an abundant number, since it is smaller than the sum of its proper divisors (96945352).

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

72099776 is a wasteful number, since it uses less digits than its factorization.

72099776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 47.

The square root of 72099776 is about 8491.1586959613. The cubic root of 72099776 is about 416.2088448400.

The spelling of 72099776 in words is "seventy-two million, ninety-nine thousand, seven hundred seventy-six".