72705437000 has 128 divisors (see below), whose sum is σ = 194904852480. Its totient is φ = 24867360000.

The previous prime is 72705436963. The next prime is 72705437003. The reversal of 72705437000 is 73450727.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (72705437003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2934665 + ... + 2959335.

It is an arithmetic number, because the mean of its divisors is an integer number (1522694160).

Almost surely, 2^72705437000 is an apocalyptic number.

72705437000 is a gapful number since it is divisible by the number (70) 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 72705437000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97452426240).

72705437000 is an abundant number, since it is smaller than the sum of its proper divisors (122199415480).

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

72705437000 is a wasteful number, since it uses less digits than its factorization.

72705437000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25120 (or 25106 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 35.

Adding to 72705437000 its reverse (73450727), we get a palindrome (72778887727).

The spelling of 72705437000 in words is "seventy-two billion, seven hundred five million, four hundred thirty-seven thousand".