73531252480 has 432 divisors, whose sum is σ = 215312670720. Its totient is φ = 23563395072.

The previous prime is 73531252477. The next prime is 73531252493. The reversal of 73531252480 is 8425213537.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410789031 + ... + 410789209.

It is an arithmetic number, because the mean of its divisors is an integer number (498408960).

Almost surely, 2^73531252480 is an apocalyptic number.

73531252480 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 73531252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107656335360).

73531252480 is an abundant number, since it is smaller than the sum of its proper divisors (141781418240).

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

73531252480 is a wasteful number, since it uses less digits than its factorization.

73531252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 73531252480 in words is "seventy-three billion, five hundred thirty-one million, two hundred fifty-two thousand, four hundred eighty".