72416628 has 18 divisors (see below), whose sum is σ = 183053234. Its totient is φ = 24138864.

The previous prime is 72416621. The next prime is 72416639. The reversal of 72416628 is 82661427.

72416628 is a `hidden beast` number, since 7 + 24 + 1 + 6 + 628 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67272804 + 5143824 = 8202^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2011573 = 72416628 / (7 + 2 + 4 + 1 + 6 + 6 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 72416592 and 72416601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72416621) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1005751 + ... + 1005822.

Almost surely, 2^72416628 is an apocalyptic number.

It is an amenable number.

72416628 is an abundant number, since it is smaller than the sum of its proper divisors (110636606).

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

72416628 is a wasteful number, since it uses less digits than its factorization.

72416628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011583 (or 2011578 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 72416628 is about 8509.7960022553. The cubic root of 72416628 is about 416.8176488217.

The spelling of 72416628 in words is "seventy-two million, four hundred sixteen thousand, six hundred twenty-eight".