1072416 has 24 divisors (see below), whose sum is σ = 2815344. Its totient is φ = 357440.

The previous prime is 1072397. The next prime is 1072429. The reversal of 1072416 is 6142701.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 1072392 and 1072401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5490 + ... + 5681.

It is an arithmetic number, because the mean of its divisors is an integer number (117306).

2^1072416 is an apocalyptic number.

1072416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1072416 is an abundant number, since it is smaller than the sum of its proper divisors (1742928).

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

1072416 is a wasteful number, since it uses less digits than its factorization.

1072416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11184 (or 11176 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 1072416 is about 1035.5752024841. The cubic root of 1072416 is about 102.3578358310.

The spelling of 1072416 in words is "one million, seventy-two thousand, four hundred sixteen".