10772072400 has 120 divisors (see below), whose sum is σ = 35021822944. Its totient is φ = 2829657600.

The previous prime is 10772072387. The next prime is 10772072461. The reversal of 10772072400 is 427027701.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13410 + ... + 147390.

Almost surely, 2^10772072400 is an apocalyptic number.

10772072400 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 10772072400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17510911472).

10772072400 is an abundant number, since it is smaller than the sum of its proper divisors (24249750544).

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

10772072400 is a wasteful number, since it uses less digits than its factorization.

10772072400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134069 (or 134058 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 30.

The spelling of 10772072400 in words is "ten billion, seven hundred seventy-two million, seventy-two thousand, four hundred".