73147872 has 192 divisors, whose sum is σ = 245306880. Its totient is φ = 18579456.

The previous prime is 73147861. The next prime is 73147883. The reversal of 73147872 is 27874137.

It is an interprime number because it is at equal distance from previous prime (73147861) and next prime (73147883).

It is a super-2 number, since 2×73147872² = 10701222356256768, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 73147872.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216888 + ... + 217224.

It is an arithmetic number, because the mean of its divisors is an integer number (1277640).

Almost surely, 2^73147872 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 73147872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122653440).

73147872 is an abundant number, since it is smaller than the sum of its proper divisors (172159008).

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

73147872 is a wasteful number, since it uses less digits than its factorization.

73147872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 385 counting only the distinct ones).

The product of its digits is 65856, while the sum is 39.

The square root of 73147872 is about 8552.6529217547. The cubic root of 73147872 is about 418.2159243994.

The spelling of 73147872 in words is "seventy-three million, one hundred forty-seven thousand, eight hundred seventy-two".