75647040 has 112 divisors (see below), whose sum is σ = 274515072. Its totient is φ = 17289216.

The previous prime is 75647029. The next prime is 75647057. The reversal of 75647040 is 4074657.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 75646992 and 75647010.

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, 1092 + ... + 12348.

Almost surely, 2^75647040 is an apocalyptic number.

75647040 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 75647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137257536).

75647040 is an abundant number, since it is smaller than the sum of its proper divisors (198868032).

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

75647040 is a wasteful number, since it uses less digits than its factorization.

75647040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11284 (or 11274 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 75647040 is about 8697.5306840505. The cubic root of 75647040 is about 422.9256054582.

The spelling of 75647040 in words is "seventy-five million, six hundred forty-seven thousand, forty".