787072 has 64 divisors (see below), whose sum is σ = 1884960. Its totient is φ = 322560.

The previous prime is 787069. The next prime is 787079. The reversal of 787072 is 270787.

It is a tau number, because it is divible by the number of its divisors (64).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (787079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18283 + ... + 18325.

2⁷⁸⁷⁰⁷² 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 787072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942480).

787072 is an abundant number, since it is smaller than the sum of its proper divisors (1097888).

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

787072 is a wasteful number, since it uses less digits than its factorization.

787072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 31.

The square root of 787072 is about 887.1707840095. The cubic root of 787072 is about 92.3290047655.

The spelling of 787072 in words is "seven hundred eighty-seven thousand, seventy-two".