73961040 has 80 divisors (see below), whose sum is σ = 236699136. Its totient is φ = 19084800.

The previous prime is 73961029. The next prime is 73961057. The reversal of 73961040 is 4016937.

73961040 = T₂₇₉ + T₂₈₀ + ... + T₇₇₄.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 73960989 and 73961007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2470 + ... + 12410.

Almost surely, 2^73961040 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 73961040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118349568).

73961040 is an abundant number, since it is smaller than the sum of its proper divisors (162738096).

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

73961040 is a wasteful number, since it uses less digits than its factorization.

73961040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9988 (or 9982 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 73961040 is about 8600.0604649037. The cubic root of 73961040 is about 419.7599535331.

Adding to 73961040 its reverse (4016937), we get a palindrome (77977977).

The spelling of 73961040 in words is "seventy-three million, nine hundred sixty-one thousand, forty".