75072000 has 320 divisors, whose sum is σ = 275768064. Its totient is φ = 18022400.

The previous prime is 75071999. The next prime is 75072031. The reversal of 75072000 is 27057.

It is a tau number, because it is divible by the number of its divisors (320).

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, 3263989 + ... + 3264011.

Almost surely, 2^75072000 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 75072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137884032).

75072000 is an abundant number, since it is smaller than the sum of its proper divisors (200696064).

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

75072000 is a wasteful number, since it uses less digits than its factorization.

75072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 75072000 is about 8664.4099625999. The cubic root of 75072000 is about 421.8512387166.

Adding to 75072000 its reverse (27057), we get a palindrome (75099057).

The spelling of 75072000 in words is "seventy-five million, seventy-two thousand".