72295992 has 96 divisors (see below), whose sum is σ = 206388000. Its totient is φ = 22818048.

The previous prime is 72295991. The next prime is 72296033. The reversal of 72295992 is 29959227.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72295991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246598 + ... + 246890.

It is an arithmetic number, because the mean of its divisors is an integer number (2149875).

Almost surely, 2^72295992 is an apocalyptic number.

72295992 is a gapful number since it is divisible by the number (72) 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 72295992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103194000).

72295992 is an abundant number, since it is smaller than the sum of its proper divisors (134092008).

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

72295992 is a wasteful number, since it uses less digits than its factorization.

72295992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 470 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 72295992 is about 8502.7049813574. The cubic root of 72295992 is about 416.5860668276.

The spelling of 72295992 in words is "seventy-two million, two hundred ninety-five thousand, nine hundred ninety-two".