749272524000 has 3072 divisors, whose sum is σ = 3592802304000. Its totient is φ = 134120448000.

The previous prime is 749272523963. The next prime is 749272524043. The reversal of 749272524000 is 425272947.

749272524000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×749272524000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 11183171967 + ... + 11183172033.

It is an arithmetic number, because the mean of its divisors is an integer number (1169532000).

Almost surely, 2^749272524000 is an apocalyptic number.

749272524000 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 749272524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796401152000).

749272524000 is an abundant number, since it is smaller than the sum of its proper divisors (2843529780000).

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

749272524000 is a wasteful number, since it uses less digits than its factorization.

749272524000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

Adding to 749272524000 its reverse (425272947), we get a palindrome (749697796947).

The spelling of 749272524000 in words is "seven hundred forty-nine billion, two hundred seventy-two million, five hundred twenty-four thousand".