1007072004528 has 480 divisors, whose sum is σ = 3073309724160. Its totient is φ = 306854645760.

The previous prime is 1007072004517. The next prime is 1007072004571. The reversal of 1007072004528 is 8254002707001.

1007072004528 is a `hidden beast` number, since 100 + 7 + 0 + 7 + 20 + 0 + 4 + 528 = 666.

1007072004528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1007072004492 and 1007072004501.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3238173493 + ... + 3238173803.

It is an arithmetic number, because the mean of its divisors is an integer number (6402728592).

Almost surely, 2^{1007072004528} is an apocalyptic number.

1007072004528 is a gapful number since it is divisible by the number (18) 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 1007072004528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536654862080).

1007072004528 is an abundant number, since it is smaller than the sum of its proper divisors (2066237719632).

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

1007072004528 is a wasteful number, since it uses less digits than its factorization.

1007072004528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 688 counting only the distinct ones).

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

The spelling of 1007072004528 in words is "one trillion, seven billion, seventy-two million, four thousand, five hundred twenty-eight".