73075897440 has 1152 divisors, whose sum is σ = 322295500800. Its totient is φ = 15138938880.

The previous prime is 73075897387. The next prime is 73075897441. The reversal of 73075897440 is 4479857037.

It is a super-2 number, since 2×73075897440² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73075897441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 403734150 + ... + 403734330.

It is an arithmetic number, because the mean of its divisors is an integer number (279770400).

Almost surely, 2^73075897440 is an apocalyptic number.

73075897440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73075897440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161147750400).

73075897440 is an abundant number, since it is smaller than the sum of its proper divisors (249219603360).

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

73075897440 is a wasteful number, since it uses less digits than its factorization.

73075897440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 73075897440 in words is "seventy-three billion, seventy-five million, eight hundred ninety-seven thousand, four hundred forty".