723725415432072 has 24 divisors (see below), whose sum is σ = 1960089666795390. Its totient is φ = 241241805144000.

The previous prime is 723725415432031. The next prime is 723725415432161. The reversal of 723725415432072 is 270234514527327.

723725415432072 is a `hidden beast` number, since 7 + 2 + 3 + 7 + 2 + 5 + 4 + 1 + 543 + 20 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 541386142502436 + 182339272929636 = 23267706^2 + 13503306^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5025870940429 + ... + 5025870940572.

Almost surely, 2^{723725415432072} is an apocalyptic number.

723725415432072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

723725415432072 is an abundant number, since it is smaller than the sum of its proper divisors (1236364251363318).

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

723725415432072 is a wasteful number, since it uses less digits than its factorization.

723725415432072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10051741881013 (or 10051741881006 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 54.

Adding to 723725415432072 its reverse (270234514527327), we get a palindrome (993959929959399).

The spelling of 723725415432072 in words is "seven hundred twenty-three trillion, seven hundred twenty-five billion, four hundred fifteen million, four hundred thirty-two thousand, seventy-two".