75078072 has 48 divisors (see below), whose sum is σ = 212181840. Its totient is φ = 23937408.

The previous prime is 75078067. The next prime is 75078077. The reversal of 75078072 is 27087057.

75078072 is a `hidden beast` number, since 7 + 507 + 80 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (75078067) and next prime (75078077).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75078077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21013 + ... + 24324.

It is an arithmetic number, because the mean of its divisors is an integer number (4420455).

Almost surely, 2^75078072 is an apocalyptic number.

75078072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

75078072 is an abundant number, since it is smaller than the sum of its proper divisors (137103768).

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

75078072 is a wasteful number, since it uses less digits than its factorization.

75078072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45372 (or 45365 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 75078072 is about 8664.7603544472. The cubic root of 75078072 is about 421.8626118502.

The spelling of 75078072 in words is "seventy-five million, seventy-eight thousand, seventy-two".