10073616 has 60 divisors (see below), whose sum is σ = 30279312. Its totient is φ = 2877504.

The previous prime is 10073603. The next prime is 10073647. The reversal of 10073616 is 61637001.

It is a super-3 number, since 3×10073616³ (a number of 22 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211 + ... + 4493.

Almost surely, 2^10073616 is an apocalyptic number.

10073616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10073616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15139656).

10073616 is an abundant number, since it is smaller than the sum of its proper divisors (20205696).

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

10073616 is a wasteful number, since it uses less digits than its factorization.

10073616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 4295 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 10073616 is about 3173.8960285428. The cubic root of 10073616 is about 215.9708465455.

The spelling of 10073616 in words is "ten million, seventy-three thousand, six hundred sixteen".