75972721440 has 384 divisors, whose sum is σ = 298789005312. Its totient is φ = 15764152320.

The previous prime is 75972721417. The next prime is 75972721441. The reversal of 75972721440 is 4412727957.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 75972721440.

It is not an unprimeable number, because it can be changed into a prime (75972721441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44092419 + ... + 44094141.

It is an arithmetic number, because the mean of its divisors is an integer number (778096368).

Almost surely, 2^75972721440 is an apocalyptic number.

75972721440 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 75972721440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149394502656).

75972721440 is an abundant number, since it is smaller than the sum of its proper divisors (222816283872).

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

75972721440 is a wasteful number, since it uses less digits than its factorization.

75972721440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The spelling of 75972721440 in words is "seventy-five billion, nine hundred seventy-two million, seven hundred twenty-one thousand, four hundred forty".