73237248 has 216 divisors, whose sum is σ = 255091200. Its totient is φ = 19740672.

The previous prime is 73237247. The next prime is 73237261. The reversal of 73237248 is 84273237.

It is a super-2 number, since 2×73237248² = 10727388989227008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (73237243) 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, 306313 + ... + 306551.

Almost surely, 2^73237248 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 73237248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127545600).

73237248 is an abundant number, since it is smaller than the sum of its proper divisors (181853952).

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

73237248 is a wasteful number, since it uses less digits than its factorization.

73237248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 270 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 73237248 is about 8557.8763720914. The cubic root of 73237248 is about 418.3861879677.

The spelling of 73237248 in words is "seventy-three million, two hundred thirty-seven thousand, two hundred forty-eight".