71472625136000 has 256 divisors, whose sum is σ = 194118067840320. Its totient is φ = 25954541568000.

The previous prime is 71472625135973. The next prime is 71472625136021. The reversal of 71472625136000 is 63152627417.

It is a happy number.

It is a super-2 number, since 2×71472625136000² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 128730992 + ... + 129285008.

Almost surely, 2^{71472625136000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71472625136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97059033920160).

71472625136000 is an abundant number, since it is smaller than the sum of its proper divisors (122645442704320).

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

71472625136000 is a wasteful number, since it uses less digits than its factorization.

71472625136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554790 (or 554768 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 71472625136000 in words is "seventy-one trillion, four hundred seventy-two billion, six hundred twenty-five million, one hundred thirty-six thousand".