73871952 has 240 divisors, whose sum is σ = 253317120. Its totient is φ = 18120960.

The previous prime is 73871933. The next prime is 73872011. The reversal of 73871952 is 25917837.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 935049 + ... + 935127.

It is an arithmetic number, because the mean of its divisors is an integer number (1055488).

Almost surely, 2^73871952 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 73871952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126658560).

73871952 is an abundant number, since it is smaller than the sum of its proper divisors (179445168).

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

73871952 is a wasteful number, since it uses less digits than its factorization.

73871952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 73871952 is about 8594.8794057857. The cubic root of 73871952 is about 419.5913485512.

It can be divided in two parts, 7387 and 1952, that added together give a palindrome (9339).

The spelling of 73871952 in words is "seventy-three million, eight hundred seventy-one thousand, nine hundred fifty-two".