72989672 has 64 divisors (see below), whose sum is σ = 166060800. Its totient is φ = 29399040.

The previous prime is 72989629. The next prime is 72989677. The reversal of 72989672 is 27698927.

72989672 = 249² + 250² + ... + 616².

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72989672.

It is not an unprimeable number, because it can be changed into a prime (72989677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78104 + ... + 79032.

It is an arithmetic number, because the mean of its divisors is an integer number (2594700).

Almost surely, 2^72989672 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 72989672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83030400).

72989672 is an abundant number, since it is smaller than the sum of its proper divisors (93071128).

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

72989672 is a wasteful number, since it uses less digits than its factorization.

72989672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1022 counting only the distinct ones).

The product of its digits is 762048, while the sum is 50.

The square root of 72989672 is about 8543.3993234543. The cubic root of 72989672 is about 417.9142090212.

The spelling of 72989672 in words is "seventy-two million, nine hundred eighty-nine thousand, six hundred seventy-two".