1452657600072 has 64 divisors (see below), whose sum is σ = 4611611433600. Its totient is φ = 415045028160.

The previous prime is 1452657600061. The next prime is 1452657600109. The reversal of 1452657600072 is 2700067562541.

1452657600072 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 6 + 576 + 0 + 0 + 0 + 72 = 666.

It is a super-2 number, since 2×1452657600072² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480374679 + ... + 480377702.

It is an arithmetic number, because the mean of its divisors is an integer number (72056428650).

Almost surely, 2^{1452657600072} is an apocalyptic number.

1452657600072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1452657600072 is an abundant number, since it is smaller than the sum of its proper divisors (3158953833528).

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

1452657600072 is a wasteful number, since it uses less digits than its factorization.

1452657600072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960752403 (or 960752393 counting only the distinct ones).

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

The spelling of 1452657600072 in words is "one trillion, four hundred fifty-two billion, six hundred fifty-seven million, six hundred thousand, seventy-two".