75972840 has 128 divisors (see below), whose sum is σ = 238360320. Its totient is φ = 19353600.

The previous prime is 75972839. The next prime is 75972851. The reversal of 75972840 is 4827957.

It is a junction number, because it is equal to n+sod(n) for n = 75972792 and 75972801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315120 + ... + 315360.

It is an arithmetic number, because the mean of its divisors is an integer number (1862190).

Almost surely, 2^75972840 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 75972840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119180160).

75972840 is an abundant number, since it is smaller than the sum of its proper divisors (162387480).

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

75972840 is a wasteful number, since it uses less digits than its factorization.

75972840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 75972840 is about 8716.2400150524. The cubic root of 75972840 is about 423.5318940940.

The spelling of 75972840 in words is "seventy-five million, nine hundred seventy-two thousand, eight hundred forty".