7582401072 has 60 divisors (see below), whose sum is σ = 21372911560. Its totient is φ = 2509277184.

The previous prime is 7582401067. The next prime is 7582401089. The reversal of 7582401072 is 2701042857.

7582401072 is a `hidden beast` number, since 7 + 582 + 4 + 0 + 1 + 0 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169393 + ... + 209424.

Almost surely, 2^7582401072 is an apocalyptic number.

7582401072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7582401072 is an abundant number, since it is smaller than the sum of its proper divisors (13790510488).

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

7582401072 is a wasteful number, since it uses less digits than its factorization.

7582401072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378970 (or 378961 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 7582401072 is about 87076.9835949776. The cubic root of 7582401072 is about 1964.5763770289.

The spelling of 7582401072 in words is "seven billion, five hundred eighty-two million, four hundred one thousand, seventy-two".