72426784 has 48 divisors (see below), whose sum is σ = 151351200. Its totient is φ = 34020864.

The previous prime is 72426773. The next prime is 72426821. The reversal of 72426784 is 48762427.

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, 84084 + ... + 84940.

It is an arithmetic number, because the mean of its divisors is an integer number (3153150).

Almost surely, 2^72426784 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 72426784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75675600).

72426784 is an abundant number, since it is smaller than the sum of its proper divisors (78924416).

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

72426784 is a wasteful number, since it uses less digits than its factorization.

72426784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1017 counting only the distinct ones).

The product of its digits is 150528, while the sum is 40.

The square root of 72426784 is about 8510.3927053926. The cubic root of 72426784 is about 416.8371333070.

The spelling of 72426784 in words is "seventy-two million, four hundred twenty-six thousand, seven hundred eighty-four".