72889956 has 30 divisors (see below), whose sum is σ = 190549590. Its totient is φ = 24296544.

The previous prime is 72889951. The next prime is 72889969. The reversal of 72889956 is 65998827.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 54997056 + 17892900 = 7416^2 + 4230^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (72889951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 112161 + ... + 112808.

It is an arithmetic number, because the mean of its divisors is an integer number (6351653).

Almost surely, 2^72889956 is an apocalyptic number.

It is an amenable number.

72889956 is an abundant number, since it is smaller than the sum of its proper divisors (117659634).

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

72889956 is a wasteful number, since it uses less digits than its factorization.

72889956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224985 (or 224974 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 72889956 is about 8537.5614785488. The cubic root of 72889956 is about 417.7238089101.

The spelling of 72889956 in words is "seventy-two million, eight hundred eighty-nine thousand, nine hundred fifty-six".