72573625542 has 64 divisors (see below), whose sum is σ = 160888550400. Its totient is φ = 21639801600.

The previous prime is 72573625513. The next prime is 72573625561. The reversal of 72573625542 is 24552637527.

It is a super-2 number, since 2×72573625542² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72573625491 and 72573625500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2059084 + ... + 2094032.

It is an arithmetic number, because the mean of its divisors is an integer number (2513883600).

Almost surely, 2^72573625542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72573625542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80444275200).

72573625542 is an abundant number, since it is smaller than the sum of its proper divisors (88314924858).

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

72573625542 is a wasteful number, since it uses less digits than its factorization.

72573625542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35469.

The product of its digits is 3528000, while the sum is 48.

The spelling of 72573625542 in words is "seventy-two billion, five hundred seventy-three million, six hundred twenty-five thousand, five hundred forty-two".