1972314900 has 72 divisors (see below), whose sum is σ = 6340635840. Its totient is φ = 525949920.

The previous prime is 1972314899. The next prime is 1972314907. The reversal of 1972314900 is 94132791.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972314907) 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, 362544 + ... + 367943.

Almost surely, 2^1972314900 is an apocalyptic number.

1972314900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1972314900 is an abundant number, since it is smaller than the sum of its proper divisors (4368320940).

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

1972314900 is a wasteful number, since it uses less digits than its factorization.

1972314900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730510 (or 730497 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1972314900 is about 44410.7520764961. The cubic root of 1972314900 is about 1254.0805103869.

The spelling of 1972314900 in words is "one billion, nine hundred seventy-two million, three hundred fourteen thousand, nine hundred".