73977948 has 216 divisors, whose sum is σ = 231796656. Its totient is φ = 20528640.

The previous prime is 73977947. The next prime is 73977949. The reversal of 73977948 is 84977937.

It is an interprime number because it is at equal distance from previous prime (73977947) and next prime (73977949).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 73977894 and 73977903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73977947) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1999386 + ... + 1999422.

Almost surely, 2^73977948 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 73977948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115898328).

73977948 is an abundant number, since it is smaller than the sum of its proper divisors (157818708).

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

73977948 is a wasteful number, since it uses less digits than its factorization.

73977948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The square root of 73977948 is about 8601.0434250735. The cubic root of 73977948 is about 419.7919377622.

It can be divided in two parts, 739 and 77948, that added together give a palindrome (78687).

The spelling of 73977948 in words is "seventy-three million, nine hundred seventy-seven thousand, nine hundred forty-eight".