75978072 has 24 divisors (see below), whose sum is σ = 205774140. Its totient is φ = 25326000.

The previous prime is 75978061. The next prime is 75978073. The reversal of 75978072 is 27087957.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75978073) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 527554 + ... + 527697.

Almost surely, 2^75978072 is an apocalyptic number.

75978072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

75978072 is an abundant number, since it is smaller than the sum of its proper divisors (129796068).

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

75978072 is a wasteful number, since it uses less digits than its factorization.

75978072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055263 (or 1055256 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 75978072 is about 8716.5401392984. The cubic root of 75978072 is about 423.5416162877.

The spelling of 75978072 in words is "seventy-five million, nine hundred seventy-eight thousand, seventy-two".