72293116 has 48 divisors (see below), whose sum is σ = 153352192. Its totient is φ = 29160000.

The previous prime is 72293107. The next prime is 72293149. The reversal of 72293116 is 61139227.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30991 + ... + 33241.

Almost surely, 2^72293116 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 72293116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76676096).

72293116 is an abundant number, since it is smaller than the sum of its proper divisors (81059076).

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

72293116 is a wasteful number, since it uses less digits than its factorization.

72293116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2328 counting only the distinct ones).

The product of its digits is 4536, while the sum is 31.

The square root of 72293116 is about 8502.5358570252. The cubic root of 72293116 is about 416.5805426974.

The spelling of 72293116 in words is "seventy-two million, two hundred ninety-three thousand, one hundred sixteen".