1072526400 has 672 divisors, whose sum is σ = 4452274560. Its totient is φ = 248832000.

The previous prime is 1072526387. The next prime is 1072526423. The reversal of 1072526400 is 46252701.

1072526400 is a `hidden beast` number, since 1 + 0 + 7 + 252 + 6 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17582370 + ... + 17582430.

Almost surely, 2^1072526400 is an apocalyptic number.

1072526400 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 1072526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226137280).

1072526400 is an abundant number, since it is smaller than the sum of its proper divisors (3379748160).

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

1072526400 is a wasteful number, since it uses less digits than its factorization.

1072526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1072526400 is about 32749.4488503242. The cubic root of 1072526400 is about 1023.6134812390.

The spelling of 1072526400 in words is "one billion, seventy-two million, five hundred twenty-six thousand, four hundred".