7572925440 has 352 divisors, whose sum is σ = 27855576000. Its totient is φ = 1948778496.

The previous prime is 7572925429. The next prime is 7572925441. The reversal of 7572925440 is 445292757.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7572925441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4008016 + ... + 4009904.

Almost surely, 2^7572925440 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 7572925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927788000).

7572925440 is an abundant number, since it is smaller than the sum of its proper divisors (20282650560).

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

7572925440 is a wasteful number, since it uses less digits than its factorization.

7572925440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 7572925440 is about 87022.5570757376. The cubic root of 7572925440 is about 1963.7576670294.

The spelling of 7572925440 in words is "seven billion, five hundred seventy-two million, nine hundred twenty-five thousand, four hundred forty".