1372042400 has 72 divisors (see below), whose sum is σ = 3382221024. Its totient is φ = 543456000.

The previous prime is 1372042393. The next prime is 1372042447. The reversal of 1372042400 is 42402731.

It is a super-3 number, since 3×1372042400³ (a number of 28 digits) contains 333 as substring.

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, 74075 + ... + 90725.

It is an arithmetic number, because the mean of its divisors is an integer number (46975292).

Almost surely, 2^1372042400 is an apocalyptic number.

1372042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1372042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691110512).

1372042400 is an abundant number, since it is smaller than the sum of its proper divisors (2010178624).

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

1372042400 is a wasteful number, since it uses less digits than its factorization.

1372042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16774 (or 16761 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 1372042400 is about 37041.0906966844. The cubic root of 1372042400 is about 1111.1921828252.

The spelling of 1372042400 in words is "one billion, three hundred seventy-two million, forty-two thousand, four hundred".