72250992 has 60 divisors (see below), whose sum is σ = 220589304. Its totient is φ = 21893760.

The previous prime is 72250967. The next prime is 72250999. The reversal of 72250992 is 29905227.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72250999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21223 + ... + 24390.

Almost surely, 2^72250992 is an apocalyptic number.

72250992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72250992 is an abundant number, since it is smaller than the sum of its proper divisors (148338312).

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

72250992 is a wasteful number, since it uses less digits than its factorization.

72250992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45638 (or 45629 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 72250992 is about 8500.0583527409. The cubic root of 72250992 is about 416.4996154521.

The spelling of 72250992 in words is "seventy-two million, two hundred fifty thousand, nine hundred ninety-two".