72290896 has 40 divisors (see below), whose sum is σ = 151443680. Its totient is φ = 33312384.

The previous prime is 72290893. The next prime is 72290941. The reversal of 72290896 is 69809227.

It is a happy number.

It is a super-3 number, since 3×72290896³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72290893) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8035 + ... + 14461.

It is an arithmetic number, because the mean of its divisors is an integer number (3786092).

Almost surely, 2^72290896 is an apocalyptic number.

72290896 is a gapful number since it is divisible by the number (76) 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 72290896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75721840).

72290896 is an abundant number, since it is smaller than the sum of its proper divisors (79152784).

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

72290896 is a wasteful number, since it uses less digits than its factorization.

72290896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6491 (or 6485 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 72290896 is about 8502.4053067353. The cubic root of 72290896 is about 416.5762784911.

The spelling of 72290896 in words is "seventy-two million, two hundred ninety thousand, eight hundred ninety-six".