72178788 has 72 divisors (see below), whose sum is σ = 190179360. Its totient is φ = 21129600.

The previous prime is 72178783. The next prime is 72178817. The reversal of 72178788 is 88787127.

It is not an unprimeable number, because it can be changed into a prime (72178783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126568 + ... + 127136.

It is an arithmetic number, because the mean of its divisors is an integer number (2641380).

Almost surely, 2^72178788 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 72178788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95089680).

72178788 is an abundant number, since it is smaller than the sum of its proper divisors (118000572).

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

72178788 is a wasteful number, since it uses less digits than its factorization.

72178788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 616 counting only the distinct ones).

The product of its digits is 351232, while the sum is 48.

The square root of 72178788 is about 8495.8100261246. The cubic root of 72178788 is about 416.3608263007.

The spelling of 72178788 in words is "seventy-two million, one hundred seventy-eight thousand, seven hundred eighty-eight".