616002072 has 64 divisors (see below), whose sum is σ = 1863544320. Its totient is φ = 165646848.

The previous prime is 616002071. The next prime is 616002073. The reversal of 616002072 is 270200616.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (616002071) and next prime (616002073).

It is a Harshad number since it is a multiple of its sum of digits (24).

616002072 is a modest number, since divided by 2072 gives 616 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616002071) 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, 104988 + ... + 110699.

It is an arithmetic number, because the mean of its divisors is an integer number (29117880).

Almost surely, 2^616002072 is an apocalyptic number.

It is an amenable number.

616002072 is an abundant number, since it is smaller than the sum of its proper divisors (1247542248).

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

616002072 is a wasteful number, since it uses less digits than its factorization.

616002072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215720 (or 215716 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 616002072 is about 24819.3890335761. The cubic root of 616002072 is about 850.8651270212.

Adding to 616002072 its reverse (270200616), we get a palindrome (886202688).

The spelling of 616002072 in words is "six hundred sixteen million, two thousand, seventy-two".