1352724672 has 168 divisors, whose sum is σ = 3962497536. Its totient is φ = 406907904.

The previous prime is 1352724643. The next prime is 1352724679. The reversal of 1352724672 is 2764272531.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1352724672.

It is not an unprimeable number, because it can be changed into a prime (1352724679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1524613 + ... + 1525499.

Almost surely, 2^1352724672 is an apocalyptic number.

1352724672 is a gapful number since it is divisible by the number (12) 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 1352724672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981248768).

1352724672 is an abundant number, since it is smaller than the sum of its proper divisors (2609772864).

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

1352724672 is a wasteful number, since it uses less digits than its factorization.

1352724672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 952 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 1352724672 is about 36779.4055416887. The cubic root of 1352724672 is about 1105.9524890020.

The spelling of 1352724672 in words is "one billion, three hundred fifty-two million, seven hundred twenty-four thousand, six hundred seventy-two".